2. *A new q-Lagrange formula and some applications*, Proc. Amer. Math.
Soc.

3. *Operator methods and Lagrange inversion: A unified approach to Lagrange
formulas*,
Trans. Amer. Math. Soc.
**305** (1988), 431-465.

4. *One-variable q-analogues for Abhyankar's inversion formula*, J. Math. Anal.
Appl.

5. *Counting lattice paths with a linear boundary,
I*, Sitz.ber. d. ÖAW Math.-naturwiss. Klasse **198** (1989), 87-107.

6. *Counting lattice paths with a linear boundary II: q-ballot and
q-Catalan numbers*, Sitz.ber. d. ÖAW,
Math-naturwiss. Klasse

7. *A two-variable Lagrange-type inversion formula with applications to
expansion and convolution identities*, Fibonacci
Quart. **28** (1990), 215-222.

8. *A new matrix inverse*,
Proc. Amer. Math.
Soc. **124** (1996), 47-59.

9. * q-analogue of a two-variable inverse pair of series with applications to
basic double hypergeometric series*, Can. J. Math.

10. *Enumeration of lattice paths and generating functions for skew plane
partitions*, Manuscripta Math. **63** (1989),
129-156.

11. *On the q-log-concavity of Gaussian binomial
coefficients*, Monatshefte Math.

12. *Einige quadratische, kubische und quartische Summenformeln für q-hypergeometrische Reihen*, Anzeiger ÖAW math.-naturw. Klasse

13. *Generating functions for plane partitions of a given
shape*, Manuscripta Math. **69** (1990), 173-202.

14. *A determinant evaluation and some enumeration results for plane
partitions*, in: "Number-Theoretic Analysis", E. Hlawka,
R. F. Tichy, eds.,
Lect. Notes in Math. 1452, Springer-Verlag, Berlin, New
York, 1990, pp. 121-131.

15. *Generating functions for shifted plane partitions*,
J. Statist. Plann. Inference
**34** (1993), 197-208.

16. (with S. G. Mohanty), *On lattice path counting by major and
descents*,
Europ. J. Combin.
**14** (1993), 43-51.

17. (with S. G. Mohanty), * q-Generalization of a ballot
problem*,
Discrete Math.

18. (with R. Guy and
B. E. Sagan), *Lattice
paths, reflections, & dimension-changing bijections*, Ars Combin.
**34** (1992), 3-15.

19. (with S. G. Mohanty),
*Counting tableaux with row and column
bounds*,
Discrete Math.
**139** (1995), 173-186.

20. *The major counting of nonintersecting lattice paths and
generating functions for tableaux*, Mem. Amer. Math. Soc. 115,
no. 552, Providence, R. I., 1995.

21. *Non-crossing two-rowed arrays*, in preparation.

22. *Combinatorial proof of the log-concavity of the
sequence of matching numbers*,
J. Combin. Theory Ser. A
**74** (1996), 351-354.

23. (with R. A. Sulanke),
*Counting pairs of nonintersecting lattice paths with
respect to weighted turns*,
Discrete Math.
**153** (1996),
189-198.

24. *Non-crossing two-rowed arrays and summations for Schur
functions*, in: Proc. of the
5th Conference on Formal Power Series and Algebraic Combinatorics,
A. Barlotti, M. Delest, R. Pinzani, eds., Florence, 1993, D.S.I.,
Università di Firenze, pp. 301-314.

24a. *Counting nonintersecting lattice paths with respect
to weighted turns*, Séminaire Lotharingien
Combin. **34** (1995), Article B34i, 17 pp.

24b. *The enumeration of lattice paths with respect to
their number of turns*, in: "Advances in Combinatorial Methods and
Applications to Probability and Statistics", N. Balakrishnan, ed.,
Birkhäuser, Boston, 1997, pp. 29-58.

25. (with H. M.
Srivastava), *Summations for basic
hypergeometric series involving a q-analogue of the digamma
function*,
Comput.
Math. Appl.

26. *On bideterminantal formulas for characters of classical
groups*, Israel J. Math. **90** (1995), 67-79.

27. *Nonintersecting lattice paths and oscillating
tableaux*,
J. Statist. Plann. Inference
**54** (1996), 75-85.

28. (with M. Fulmek),
*Lattice path proofs for determinant formulas for symplectic
and orthogonal characters*,
J. Combin. Theory
Ser. A **77**
(1997), 3-50.

29. *A systematic list of two- and three-term contiguous
relations for basic hypergeometric series*, unpublished
manuscript, 1993.

30. (with M. Prohaska), *A
remarkable formula for
counting nonintersecting lattice paths in a ladder with respect to
turns*,
Trans. Amer. Math. Soc.
**351** (1999), 1015-1042.

31. (with I. M. Gessel),
*Cylindric
partitions*,
Trans. Amer. Math. Soc.
**349** (1997), 429-479.

32. (with B. E. Sagan),
*Nonintersecting
lattice paths and Cauchy identities*, in preparation.

33. *Identities for classical group
characters of nearly rectangular shape*,
J. Algebra **209**
(1998), 1-64.

34. (with M. Fulmek), *A bijection between Proctor's
and Sundaram's odd orthogonal tableaux*,
Discrete
Math. **161** (1996), 101-120.

35. (with R. A. Gustafson), *Heine
transformations for
a new kind of basic hypergeometric series in U(n)*,
J.
Comput. Math. Appl.

36. *An involution principle-free
bijective proof of
Stanley's hook-content formula*, Discrete
Math. Theoret. Computer Science **3** (1998), 011-032.

37. *Bijective proofs of the hook formulas for the
number of standard Young tableaux, ordinary and shifted*,
Electronic
J. Combin. **2** (1995), #R13, 9 pp.

38. *A bijective proof of the hook-content formula for super Schur
functions and a modified jeu de taquin*, Electronic
J. Combin. **3** (No. 2, "The Foata
Festschrift") (1996), #R14,
24 pp.

39. (with R. A. Gustafson), *Determinant evaluations
and U(n) extensions of Heine's
_{2}\phi_{1}-transformations*,
in: "Special Functions,

40. (with D. Foata), *Graphical major indices,
II*, Séminaire
Lotharingien Combin. **34** (1995), Article B34k, 16 pp.

41. *Determinant identities and a generalization of the number of
totally symmetric self-complementary plane partitions*,
Electron. J. Combin. **4**(1) (1997), #R27, 62 pp.

42. *Some q-analogues of
determinant identities which arose
in plane partition enumeration*,
Séminaire
Lotharingien Combin.

43. *An alternative evaluation of the
Andrews-Burge determinant*, in: "Mathematical Essays in Honor
of Gian-Carlo Rota", B. E. Sagan, R. P. Stanley, eds.,
Progress in Math., vol. 161,
Birkhäuser, Boston, 1998, pp. 263-270.

44. *A new proof of the M-R-R conjecture
- including a generalization*,
J. Difference
Equ. Appl. **5** (1999), 335-351.

45. (with P. Slater),
*Asymptotic Redundancies for Universal
Quantum Coding*,
IEEE
Trans. Information Theory
**46** (2000), 801-819.

46. (with D. Zeilberger),
*Proof of a determinant evaluation
conjectured by Bombieri, Hunt and van der Poorten*,
New York
J. Math. **3** (1997), 54-102.

47. *Another involution principle-free
bijective proof of
Stanley's hook-content formula*,
J. Combin. Theory Ser. A
**88** (1999), 66-92.

48. (with S. Okada), *The number
of rhombus tilings of a "punctured" hexagon and the minor summation
formula*,
Adv. Appl. Math.
**21** (1998), 381-404.

49. (with
M. Ciucu),
*The number of centered lozenge
tilings of a symmetric hexagon*,
J. Combin. Theory Ser. A
**86** (1999), 103-126.

50. (with M. Fulmek),
*
The number of rhombus
tilings of a symmetric hexagon which contain a fixed rhombus on the
symmetry axis, I*,
Ann. Combin.
**2** (1998), 19-40.

50a. (with
M. Ciucu and M. Fulmek),
*Enumeration of rhombus tilings of a
hexagon which contain a fixed rhombus on its symmetry axis*,
Poster Session at FPSAC'98, Toronto.

51. (with H. Niederhausen),
*Lattice paths with weighted left turns
above a parallel to the diagonal*, Congr. Numer. **124**
(1997), 73-80.

52. (with M. Schlosser),
*A new multidimensional
matrix inverse with applications to multiple q-series*,
Discrete Math.
(Gould Anniversary volume)

53. (with M. Ciucu),
*Enumeration of lozenge tilings of
hexagons with cut-off corners*,
J. Combin. Theory Ser.
A **100** (2002), 201-231.

53a. (with M. Ciucu),
*A non-automatic (!) application of Gosper's
algorithm evaluates a determinant from tiling enumeration*,
Rocky Mountain J. Math. **32** (2002), 589-605.

54. *Schur function identities and
the number of perfect matchings of
holey Aztec rectangles*, in:
"*q*-Series from a Contemporary Perspective," M. E. H. Ismail,
D. Stanton,
eds., Contemporary Math., vol. 254, Amer. Math. Soc., Providence,
R.I., 2000, pp. 335-350.

55. (with M. Fulmek),
*
The number of rhombus
tilings of a symmetric hexagon which contain a fixed rhombus on the
symmetry axis, II*,
Europ. J. Combin.
**21** (2000), 601-640.

55a. *A (conjectural) 1/3-phenomenon
for the number of rhombus
tilings of a hexagon which contain a fixed rhombus*,
in: Number Theory and
Discrete Mathematics, A. K. Agarwal et al., eds.,
Hindustan Book Agency, New Delhi, 2002, pp. 13-30.

56. (with R. Evans,
H. Hollmann and Q. Xiang),
*Gauss sums, Jacobi sums, and
p-ranks of cyclic difference sets*,
J. Combin. Theory
Ser. A

57. (with
M. Ciucu),
*Plane partitions II: 5 1/2
symmetry classes*, in: "Combinatorial Methods in
Representation Theory," M. Kashiwara, K. Koike, S. Okada, I. Terada,
H. Yamada, eds., Advanced Studies in Pure Mathematics, vol. 28, RIMS, Kyoto,
2000, pp. 83-103.

58. (with A. J. Guttmann
and X. G. Viennot),
*Vicious
walkers, friendly walkers and Young tableaux II: with a wall*,
J. Phys. A: Math. Gen. **33**
(2000), 8835-8866.

59. *Advanced determinant calculus*,
Séminaire
Lotharingien Combin. **42** ("The Andrews
Festschrift") (1999), Article B42q, 67 pp.

60. (with
M. Ciucu,
T. Eisenkölbl
and
D. Zare),
*Enumeration of lozenge tilings
of hexagons with a central triangular hole*,
J. Combin. Theory Ser. A
**95** (2001), 251-334.

62. *Bijections for hook pair
identities*, Electron.
J. Combin. **7** (2000), Article #R27, 13 pp.

63. *Permutations with restricted
patterns and Dyck paths*,
Adv. Appl. Math.
**27** (2001), 510-530.

64. (with
G.-N. Han),
*Rectangular Scott-type permanents*,
Séminaire
Lotharingien Combin. **43**
(2000), Article B43g, 25 pp.

65. (with G.
E. Andrews, L. Orsina and
P. Papi),
* ad-Nilpotent b-ideals
in sl(n) having a fixed class of nilpotence: Combinatorics and
enumeration*,
Trans. Amer. Math. Soc.

66. (with L. Orsina and
P. Papi),
*Enumeration of
ad-Nilpotent b-ideals for simple Lie algebras*,
Adv. Appl. Math.

67. *On multiplicities of points on Schubert varieties in
Grassmannians*,
Séminaire
Lotharingien Combin. **45** (2001), Article B45c, 11 pp.

68. *Proof of a
summation formula for an Ã_{n}
basic hypergeometric series
conjectured by Warnaar*, in: "

69. (with S. R. Ghorpade),
*The Hilbert series of Pfaffian
rings*, in: Algebra, Arithmetic and Geometry
with Applications, C. Christensen, G. Sundaram, A. Sathaye and C. Bajaj,
eds., Springer-Verlag, New York, 2004, pp. 337-356.

70. (with
M. Rubey),
*A determinantal formula for the
Hilbert series of one-sided ladder determinantal
rings*, in: Algebra, Arithmetic and Geometry
with Applications, C. Christensen, G. Sundaram, A. Sathaye and C. Bajaj,
eds., Springer-Verlag, New York, 2004, pp. 525-552.

71. (with G. Almkvist and J. Petersson),
*Some new formulas for pi*,
Experiment. Math. **12** (2003),
441-456.

72. (with K. Srinivasa Rao),
*Automatic generation of hypergeometric
identities by the beta integral method*,
J.
Comput. Math. Appl. **160** (2003), 159-173.

73. (with A. J. Guttmann
and X. G. Viennot),
*Vicious
walkers, friendly walkers and Young tableaux III: between two walls*,
J.
Statist. Phys.
**110** (2003), 1069-1086.

74. *Asymptotics for random walks in
alcoves of affine Weyl groups*,
Séminaire
Lotharingien Combin. **52** (2007), Article B52i, 72 pp.

75. *Evaluations of some determinants of matrices
related to the Pascal triangle*,
Séminaire
Lotharingien Combin. **47** (2002), Article B47g, 19 pp.

76. *On multiplicities of points on
Schubert varieties in Graßmannians II*,
J. Algebraic Combin. **22** (2005), 273-288.

77. *Watermelon configurations with
wall interaction: exact and asymptotic results*,
J. Physics Conf. Series **42** (2006), 179-212.

79. (with T. W. Müller),
*Equations in finite semigroups:
Explicit enumeration and asymptotics of solution numbers*,
J. Combin. Theory Ser. A
**105** (2004), 291-334.

80. (with H. Rosengren),
*On a hypergeometric
identity of Gelfand, Graev and Retakh*,
J.
Comput. Math. Appl. **160** (2003), 147-158.

81. (with G. Vanden Berghe
and K. Srinivasa Rao),
*An entry of Ramanujan on
hypergeometric series in his
Notebooks*,
J.
Comput. Math. Appl. **173** (2004), 239-246.

82. (with T. Rivoal),
*Hypergéométrie et
fonction zêta de Riemann*,
Mem. Amer. Math. Soc. 186, no. 875, Providence, R. I., 2007.

83. (with T. Rivoal
and W. Zudilin),
*Séries
hypergéométriques basiques,
q-analogues des valeurs de la fonction zêta et
séries d'Eisenstein*,
J.
Inst. Math. Jussieu

84. *Descending plane partitions and rhombus
tilings of a hexagon with triangular hole*,
Europ. J. Combin. **27** (2006), 1138-1146.

85. (with C. Brouder
and A. Frabetti),
*Non-commutative Hopf algebra
of formal diffeomorphisms*,
Adv. Math. **200** (2006), 479-524.

86. (with K. Srinivasa Rao),
*On group theoretical aspects
and symmetries of angular momentum coefficients*,
in: Symmetries in Science XI, B. Gruber, G. Marmo,
N. Yoshinaga, eds., Kluwer, Dordrecht, 2004, pp. 355-376.

87. (with K. E. Kürten),
*Multistability and fractal properties of
Hamiltonian lattice models*,
in: Condensed Matter Theories, vol. 19, E. Suraud, ed.,
Nova Science Publ., New York, 2004.

88. (with T. Rivoal),
*An identity of Andrews, multiple integrals,
and very-well-poised hypergeometric series*,
Ramanujan J.
**13** (2007), 203-219.

89. (with
F. Caselli),
*Proof of two conjectures of Zuber on fully packed
loop configurations*,
J. Combin. Theory Ser. A **108** (2004), 123-146.

90. (with Padmavathamma, B. M. Chandrashekara and R. Raghavendra),
*Analytic proof of the partition identity
A_{5,3,3}(n) =
B^{0}_{5,3,3}(n)*,
Ramanujan J.

91. *Hypergeometric proof of a curious
identity of Lyons, Paule and Riese*,
South East Asian J. Math. Math. Sci. **3** (No.1) (2004), 63-67.

92. (with W. Y. C. Chen and
A. L. B. Yang), *The flagged Cauchy determinant*,
Graphs
Combin. **21** (2005), 51-62.

93. (with H. H. Chan),
*Recent progress in the
study of representations of
integers as sums of squares*,
Bull. London Math. Soc. **37** (2005), 818-826.

94. (with T. Rivoal),
*Approximants de Padé
des q-polylogarithmes*, in: Diophantine Approximation -
Festschrift for Wolfgang Schmidt,
Developments in Mathematics, Vol. 16, R. Tichy, H.-P. Schlickewei,
K. Schmidt, eds., Springer-Verlag, New York, 2008, pp. 221-230.

95. (with S. Humphries),
*Trace identities from identities
for determinants*,
Linear
Algebra Appl. **411** (2005), 328-342.

96. (with
F. Caselli,
B. Lass and
P. Nadeau),
*On the number of fully packed loop
configurations with a fixed associated matching*,
Electronic
J. Combin. **11**(2) (2005), Article #R16, 43 pp.

97. (with T. Rivoal),
*How can we escape Thomae's
relations?*,
J. Math. Soc. Japan **58** (2006), 183-210.

98. (with S. Friedland),
*2-adic valuations of certain ratios
of products of factorials and applications*,
Linear
Algebra Appl. **426** (2007), 159-189.

99.
*Advanced determinant calculus:
a complement*,
Linear
Algebra Appl. **411** (2005), 68-166.

100.
*The F-triangle of the
generalised cluster complex*, in: "Topics in Discrete Mathematics,"
dedicated to Jarik Nešetřil on the occasion of his 60th birthday,
M. Klazar, J. Kratochvil, M. Loebl, J. Matoušek, R. Thomas and
P. Valtr, eds., Springer-Verlag, Berlin, New York, 2006, pp. 93-126.

101. (with J. M. Brunat
Blay, A. Lascoux and
A. Montes),
*Some composition determinants*,
Linear
Algebra Appl. **416** (2006), 355-364.

102.
*Growth diagrams, and increasing and decreasing
chains in fillings of Ferrers shapes*,
Adv. Appl. Math.
**37** (2006), 404-431.

103.
*The M-triangle of
generalised non-crossing partitions
for the types E_{7} and E_{8}*,
Séminaire
Lotharingien Combin.

104. (with T. W. Müller),
*Decomposition numbers for finite Coxeter groups
and generalised non-crossing partitions*,
Trans. Amer. Math. Soc. **362** (2010), 2723-2787.

106. (with K. E. Kürten),
*Multistability and multi 2 \pi-kinks in the Frenkel-Kontorova model: an application to arrays of Josephson junctions*,
Int. J. Modern Physics B

107. *Determinants of (generalised) Catalan numbers*,
J. Statist. Plann. Inference **140** (2010), 2260-2270.

108. (with T. Rivoal),
*On the integrality of the Taylor coefficients of mirror maps*,
unpublished manuscript, 54 pages.

108a. (with T. Rivoal),
*On the integrality of the Taylor coefficients of mirror maps*,
Duke Math. J. **151** (2010), 175-218
(first part of the original manuscript no. 108).

108b. (with T. Rivoal),
*On the integrality of the Taylor coefficients of mirror maps, II*,
Commun. Number Theory Phys.
**3** (2009), 555-591
(second part of the original manuscript no. 108).

109. (with T. Rivoal),
*On a linear form for Catalan's constant*,
South East Asian J. Math. Math. Sci. **6** (No.2) (2008), 3-15.

110. (with T. W. Müller),
*Parity patterns associated
with lifts of Hecke groups*,
Abh. Math. Sem. Univ. Hamburg
**78** (2008), 99-147.

111. (with A. Conca and J. Watanabe),
*Regular sequences of symmetric polynomials*,
Rend. Sem. Mat. Univ. Padova **121**
(2009), 179-199.

112. (with
M. Ciucu),
*The interaction of a gap with a free boundary in a
two dimensional dimer system*,
Commun. Math. Phys.
**302** (2011), 253-289.

113. (with I. Rochev,
K. Väänänen
and W. Zudilin),
*On the non-quadraticity of values of the q-exponential function
and related q-series*,
Acta Arithm.

114. (with T. Rivoal),
*Multivariate p-adic formal congruences and
integrality of Taylor coefficients of mirror maps*,
in: "Théories galoisiennes et arithmétiques des équations différentielles,"
L. Di Vizio and T. Rivoal (eds.), Séminaires et Congrès, Soc. Math. France, vol. 27, Paris, 2011,
pp. 279-307.

116. (with
M. Ciucu),
*A factorization theorem for classical group characters, with
applications to plane partitions and rhombus tilings*,
in: Advances in Combinatorial Mathematics:
Proceedings of the Waterloo Workshop in Computer Algebra 2008,
I. Kotsireas, E. Zima (eds.), Springer-Verlag, 2010, pp. 39-60.

117. (with
D. Armstrong),
*Euler characteristic of the truncated order complex of generalized noncrossing partitions*,
Electronic
J. Combin. **16**(1) (2009), Article #R143, 10 pp.

118. (with
G. Hetyei),
*The poset of bipartitions*,
Europ. J. Combin. **32** (2011), 1253-1281.

119. (with P. J. Cameron
and T. W. Müller),
*Decomposable functors and the
exponential principle, II*,
Séminaire
Lotharingien Combin. **61A** (2011), Article 61Am, 38 pages.

119a. (with P. J. Cameron
and T. W. Müller),
*A note on higher-dimensional magic
matrices*,
Austral. J. Combin.
**50** (2011), 205-215.

120. (with W. Bruns
and
J. Uliczka),
*Stanley decompositions and Hilbert depth
in the Koszul complex*,
J. Commut. Algebra **2** (2010),
327-357.

121. (with J. Cigler),
*Some determinants of path generating functions*,
Adv. Appl. Math.
**46** (2011), 144-174.

122. (with A. Juhl),
*Summation formulas for GJMS-operators and
Q-curvatures on the Möbius sphere*,
J. Approx. Theory

123. (with H. H. Chan,
A. Kontogeorgis
and R. Osburn),
*Supercongruences satisfied by coefficients of
_{2}F_{1} hypergeometric series*,
Ann.
Sci. Math. Québec

124. (with T. W. Müller),
*Cyclic sieving for generalised non-crossing partitions associated
with complex reflection groups of exceptional type*,
in: Advances in Combinatorics, volume in memory of Herbert S. Wilf,
E. Zima, I. Kotsiras (eds.), Springer-Verlag, 2013, pp. 209-247.

124a. (with T. W. Müller),
*Cyclic sieving for generalised non-crossing partitions associated
to complex reflection groups of exceptional type - the details*,
manuscript, 2009.

125. (with W. Bruns
and
J. Uliczka),
*Hilbert depth of powers
of the maximal ideal*,
in: "Commutative Algebra and its Connections to Geometry (PASI 2009),"
A. Corso, C. Polini (eds.),
Contemporary Mathematics, vol. 555, Amer. Math. Soc., Providence, R.I., 2011, pp. 1-12.

126. *Asymptotic analysis of a Selberg-type integral via hypergeometrics*, unpublished manuscript, 6 pages.

127. (with R. Bacher),
*Chromatic statistics for Catalan and Fuß-Catalan numbers*,
Electronic
J. Combin. **18**(1) (2011), Article P152, 16 pp.

128. (with T. Rivoal),
*Analytic properties of
mirror maps*,
J. Austral. Math. Soc. **92** (2012), 195-235.

129. (with M. Kauers and
T. W. Müller),
*A
method for determining the mod-2 ^{k} behaviour of
recursive sequences, with applications to subgroup counting*,
Electron. J. Combin.

130. (with V. P. Spiridonov and G. S. Vartanov),
*Superconformal indices of
three-dimensional theories related by mirror symmetry*,
J. High Energy Phys. **2011**, no. 6, 008, 19 pp.

131. (with A. Bruder and
S. K. Suslov),
*An eigenvalue problem for
the associated Askey-Wilson polynomials*,
in: Algorithmic Combinatorics: Enumerative Combinatorics,
Special Functions and Computer Algebra, V. Pillwein and
C. Schneider (eds.), Springer-Verlag, 2020, pp. 89-108.

132. (with M. Schlosser),
*The major index generating
function of standard Young
tableaux of shapes of the form "staircase minus rectangle"*,
Contemporary Math. **627** (2014), 111-122.

133. (with
T. W. Müller),
*A
method for determining the mod-3 ^{k} behaviour of
recursive sequences*,
preprint, 83 pages.

134. (with A. M. Oller-Marcén),
*A determinant of generalized
Fibonacci numbers*,
J. Combin. Number Theory **5**(2) (2013), Article #2, 7 pp.

135. (with
M. Ciucu),
*A dual of MacMahon's theorem on plane partitions*,
Proc. Natl. Acad. Sci. USA
**110** (2013), 4518-4523.

136. (with
T. W. Müller),
*A
Riccati differential equation and free subgroup numbers
for lifts of PSL_{2}(Z) modulo prime powers*,
J. Combin. Theory Ser. A

137. (with A. Kasraoui),
*Enumeration of symmetric centered rhombus tilings of a hexagon*,
unpublished manuscript, 48 pages.

139. (with
T. W. Müller),
*A method for determining the
mod- p^{k} behaviour of recursive sequences*,
preprint, 36 pages.

140. (with
T. W. Müller),
*Generalised Apéry numbers modulo 9*,
J. Number Theory **147** (2015), 708-720.

141. (with S. I. Kryuchkov,
A. Mahalov and
S. K. Suslov),
*On
the problem of electromagnetic-field quantization*,
Int. J.
Theoret. Phys. **52** (2013), 4445-4460.

142. (with
V. J. W. Guo),
*Some divisibility properties of binomial
and q-binomial coefficients*,
J. Number Theory **135** (2014), 167-184.

143. (with
T. W. Müller),
*Periodicity of free
subgroup numbers of virtually free groups modulo prime powers*,
J. Algebra
** 452** (2016), 372-389.

144. (with
M. Ciucu),
*A factorization theorem for lozenge tilings of a hexagon with triangular holes*,
Trans. Amer. Math. Soc.
**369** (2017), 3655-3672.

145. (with
*On conformal powers of the Dirac operator on Einstein manifolds*,
Math. Zeitschr. **280** (2015), 825-839.

146.
*Bijections between oscillating tableaux and (semi)standard
tableaux via growth diagrams*,
J. Combin. Theory Ser. A **144** (2016), 277-291.

147. (with
T. W. Müller),
*Truncated versions of Dwork's lemma for exponentials
of power series and p-divisibility of arithmetic functions*,
Adv. Math.
**283** (2015), 489-529.

148. (with S. R. Ghorpade),
*Computation of the a-invariant of
ladder determinantal rings*,
J. Alg.
Appl. **14** (2015), Art. 1540014, 24 pages.

149. (with
R. P. Brent
and S. O. Warnaar),
*Discrete analogues of Macdonald-Mehta integrals*,
J. Combin. Theory Ser. A **144** (2016), 80-138.

150. (with
T. W. Müller),
*Free subgroup numbers modulo prime powers: the non-periodic case*,
J. Combin. Theory Ser. A
**154** (2018), 49-76.

151. (with
Andrei Asinowski and
Toufik Mansour),
*Counting triangulations of some
classes of subdivided convex polygons*,
Europ. J. Combin. **62** (2017), 92-114.

152. (with
C. Schneider),
*Evaluation of binomial double sums involving absolute values*,
in: Algorithmic Combinatorics: Enumerative Combinatorics,
Special Functions and Computer Algebra, V. Pillwein and
C. Schneider (eds.), Springer-Verlag, 2020, pp. 249-296.

154.
*Congruences modulo powers of* 2 *for the
number of unique path partitions*,
in: Analytic Number Theory, Modular Forms and *q*-Hypergeometric
Series, G. E. Andrews, F. G. Garvan (eds.),
Springer Proceedings in Mathematics & Statistics, Springer-Verlag, Cham, 2018,
pp. 401-408.

155. (with
T. W. Müller),
*Normalising graphs of groups*,
Monatsh. Math.
**185** (2018), 269-286.

156. (with
T. W. Müller),
*Motzkin numbers and related sequences
modulo powers of 2*,
Europ. J. Combin.
**73** (2018), 114-137.

157. (with
Cyril Banderier,
Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin, David Tuan Nguyen,
and Michael Wallner),
*Explicit formulas for enumeration of lattice paths: basketball and the kernel method*,
in: Lattice Path Combinatorics and Applications, G. E. Andrews,
C. Krattenthaler and A. Krinik (eds.), Developments in Mathematics,
Springer-Verlag, Cham, 2019, pp. 78-118.

158. (with
G. Bhatnagar),
*Spiral determinants*,
Linear
Algebra Appl. **529** (2017), 374-390.

159. (with
M. Drmota),
*A joint central limit theorem for the
sum-of-digits function,
and asymptotic divisibility of Catalan-like sequences*,
Proc. Amer. Math.
Soc. **147** (2019), 4123-4133.

160. (with
*Best polynomial approximation on the triangle*,
J. Approx. Theory
**241** (2019), 63-78.

161. (with D. Yaqubi),
*Some determinants of path generating functions, II*,
Adv. Appl. Math. **101** (2018), 232-265.

162. (with T. Guo and
Y. Zhang),
*On (shape-)Wilf equivalence for words*,
Adv. Appl. Math.
**100** (2018), 87-100.

163. (with
G. Bhatnagar),
*The determinant of an elliptic Sylvesteresque matrix*,
SIGMA **14** (2018), 052, 15 pp.

164. (with Q.-H. Hou and
Z.-W. Sun),
*On q-analogues of some series for π and π ^{2}*,
Proc. Amer. Math.
Soc.

165. (with W. Zudilin),
*Hypergeometry inspired by irrationality questions*,
Kyushu J. Math. **73** (2019), 189-203.

166. (with J. Dick,
M. Ehler
and M. Gräf),
*Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold*,
32 pages, Constr. Appr. (to appear).

167. (with H. Mühle),
*The rank enumeration of certain parabolic non-crossing partitions*,
Algebraic Combin. (to appear).

168. (with M. Merca and C.-S. Radu),
*Infinite product formulae for generating
functions for sequences of squares*,
in: Transcendence in Algebra, Combinatorics, Geometry and Number Theory,
Proceedings of the Conference "Transient Transcendence in
Transylvania", Braşov, May 2019, A. Bostan, K. Raschel (eds.),
Springer Proceedings in Mathematics &
Statistics, vol. 373, Springer-Verlag, 2021, pp. 193-236.

169. (with J. Cigler),
*Hankel determinants of linear combinations
of moments of orthogonal polynomials*,
Int. J. Number Theory
**17** (2021), 341-369.

170. *Hankel determinants of linear combinations
of moments of orthogonal polynomials, II*,
28 pages,
Ramanujan J.
(to appear).

171. (with E. Rowland and
R. Yassawi),
*Lucas congruences for the Apéry numbers modulo p^{2}*,
Integers

172. (with J. Cigler),
*Bounded Dyck paths, bounded
alternating sequences, orthogonal polynomials, and reciprocity*,
preprint, 70 pages.

173. (with F. Chapoton and J. Zeng),
*Moments of q-Jacobi polynomials and q-zeta values*,
preprint, 8 pages.

174. *Proof of two multivariate q-binomial sums arising
in Gromov-Witten theory*,
preprint, 5 pages.

175. *A determinant identity for moments of orthogonal polynomials
that implies Uvarov's formula for the orthogonal polynomials
of rationally related densities*,
preprint, 20 pages.

A2.
*A Gog-Magog conjecture*,
5 pages, unpublished manuscript, 1996; updated 2016.

A3. (with S. G. Mohanty),
*Lattice path combinatorics
- applications to probability and statistics*,
14 pages; written for the Encyclopedia of Statistical Sciences, Second Edition,
Samuel Kotz, Norman L. Johnson, Campbell B. Read,
N. Balakrishnan, Brani Vidakovic, eds., Wiley, New York, 2003.

A4. *The Research Training Network
``Algebraic Combinatorics in Europe"*,
Proceedings of the 4th
European Congress of Mathematics,
Stockholm, 2004, A. Laptev, ed., European Math. Society Publ. House,
Zürich, 2005, pp. 625-642.

A5.
*Combinatorics*,
53 pages; written for the Encyclopedia of Mathematical Physics,
J.-P. Françoise, G. Naber, S. T. Tsou, eds., Elsevier, Amsterdam,
2006.

A6.
*The theory of heaps and the Cartier-Foata monoid*,
10 pages, 2006; written as a complement to the electronic republication
of the celebrated monograph
*Problèmes
combinatoires de commutation et
réarrangements* by
Pierre Cartier and
Dominique Foata.

A7.
*Alternative proof of a proposition on cylindric partitions
by Alexei Borodin*, unpublished manuscript, 3 pages, 2008.

A8. (with T. Rivoal),
*Démonstration de l'Observation 2 d'Almkvist et Zudilin*,
note, 2 pages, 2009.

A9. (with Alain Lascoux),
*Two polynomial identities*,
unpublished manuscript, 8 pages, 2009.

A10. (with Ömer Eğecioğlu),
*A q-Catalan-numbers-determinant*,
unpublished manuscript, 5 pages, 2009.

A11.
*A determinant evaluation conjectured by Roland Bacher*,
unpublished manuscript, 4 pages, 2010.

A12.
*Musik UND Mathematik? Persönliche
Ansichten zu einer schwierigen Beziehung*,
written version of a talk given in the `math.space`
in the Museumsquartier in Vienna, May 16, 2013;
Int. Math. Nachr. Nr. 224 (2013),
29-60.

A12a.
*Music AND Mathematics? Personal
Views on a Difficult Relationship*,
English version of a written version of a talk given in the `math.space`
in the Museumsquartier in Vienna, May 16, 2013;
Newsletter
Europ. Math. Soc. Nr. 104 (2017),
41-54.

A13.
*Lattice Path Enumeration*,
in: Handbook of Enumerative Combinatorics, M. Bóna (ed.), Discrete Math.
and Its Appl., CRC Press, Boca Raton-London-New York, 2015, pp. 589-678.

A14.
*Plane partitions in the work of Richard Stanley
and his school*,
in: ``The Mathematical Legacy of Richard P. Stanley"
P. Hersh, T. Lam, P. Pylyavskyy and V. Reiner (eds.), Amer. Math. Soc.,
R.I., 2016, pp. 246-277.

A15.
*Two families of determinants inspired by questions of Jim Propp*,
unpublished manuscript, 7 pages, 2020.

A16.
*Was der h-Index wirklich aussagt*,
Mitt. Dtsch. Math.-Ver. **29** (2021), 124-128.

A16a.
*What the h-index really says*,
English translation of the German note
*"Was der h-Index wirklich aussagt"*.

E2. *Discrete random walks. Theory and applications in
combinatorics, computational biology, computer science, probability
theory, and statistical physics*,
Proceedings of the conference held in Paris, September 1-5, 2003,
C. Banderier and C. Krattenthaler (eds.),
Discrete Mathematics and Theoretical Computer Science Proceedings,
Vol. AC, The Association DMTCS, Nancy,
358 pp., 2003.

E3. *21st International Conference on Formal Power
Series and Algebraic Combinatorics (FPSAC 2009)*,
Proceedings of the conference held in Hagenberg, July 20-24, 2009,
C. Krattenthaler, V. Strehl and M. Kauers (eds.),
Discrete Mathematics
and Theoretical Computer Science Proceedings,
Vol. AK, The Association DMTCS, Nancy,
front matter+926 pp., 2009.

E4. *Lattice Path Combinatorics and Applications*,
selected papers from the 8th International Conference on
Lattice Path Combinatorics and Applications held at
Pomona, August 17-20, 2015,
G. E. Andrews, C. Krattenthaler and A. Krinik (eds.),
Developments in Mathematics, Springer-Verlag, Cham, xxv+418 pp., 2019.

E5. *The European Conference on Combinatorics, Graph
Theory and Applications (EUROCOMB'17)*,
selected extended abstracts from the conference held in
Vienna, August 28 - September 1, 2017,
M. Drmota, M. Kang, C. Krattenthaler and J. Nešetřil (eds.),
Electronic Notes in Discrete Mathematics, vol. 61, Elsevier,
Amsterdam, 2019.

E6. *Selected Papers of EuroComb17*,
Vienna, August 28 - September 1, 2017,
M. Drmota, M. Kang, C. Krattenthaler and J. Nešetřil (eds.),
European Journal of Combinatorics, vol. 88, Elsevier,
Amsterdam, 2020.

P2. *HYPQ, Manual for a Mathematica package for handling basic hypergeometric
series*, 1994, 193 pages.

P3. *HYP, Manual for a Mathematica package for handling hypergeometric
series*, 1994, 160 pages.

Back to Christian Krattenthaler's home page.