Transparencies of some talks given by Christian Krattenthaler
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Was ist Diskrete Mathematik - und wozu?
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Gespiegelt und verkehrt: Zur Kombinatorik von musikalischen
Themen
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Patience legen und sortieren:
Von einem (mathematischen) "Zaubertrick" bis zur Fieldsmedaille
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Abzählung von Pflasterungen
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40 years of Séminaire Lotharingien de Combinatoire
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Musik UND Mathematik? Persönliche Ansichten
zu einer schwierigen Beziehung
(video,
plus an encore)
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Music AND Mathematics? Personal Views of a Difficult
Relationship
(video,
plus some additional music)
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Srinivasa Ramanujan: Life and Mathematics
Part 1 Part 2
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Advanced Determinant Calculus (overhead transparencies)
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Advanced Determinant Calculus (beamer presentation)
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Identities for fully packed loop configurations and semistandard tableaux
(video)
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Proof of some conjectures of Jean-Bernard Zuber on fully packed
loop configurations
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Enumeration of rhombus tilings and determinant evaluations
Part 1 Part 2
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Exact enumeration of plane partitions and rhombus tilings (video)
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The poset of bipartitions
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Combinatorial determinants
Video of a 45 minutes version
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Hypergeometrics in action!
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Some
determinants of path generating functions
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Non-crossing partitions
for complex reflection groups and cyclic sieving
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A
method for determining the mod-2k behaviour of
(certain) recursive sequences
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Combinatorial sequences modulo
powers of 3
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Combinatorics of Discrete Lattice Models (video)
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The second life of George Andrews' multidimensional extension of Watson's
transformation formula
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A
Riccati differential equation and free subgroup numbers
for PSL2(Z) modulo powers of primes
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A
(semi-) automatic method for the determination of
differentially algebraic integer sequences modulo powers of
2 and 3
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Two
applications of useful functions
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A
dual of MacMahon's theorem on plane partitions
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Positive
m-divisible non-crossing partitions and their
cyclic sieving
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Enumeration of standard Young
tableaux of shapes of the form ``staircase minus rectangle"
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A
factorisation theorem for the number of rhombus tilings
of a hexagon with triangular holes
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Non-intersecting lattice paths,
classical group characters, and multivariate hypergeometric series
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Truncated versions of a lemma of Dwork and
p-divisibility of arithmetic functions
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RSK correspondence, jeu de taquin, and growth
diagrams
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A transformation formula for elliptic hypergeometric series:
three applications
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Elliptic hypergeometric series and applications
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A joint central limit theorem for the sum-of-digits function,
and asymptotic divisibility of Catalan-like sequences
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Chen Wang's proof of the Borwein Conjecture
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Determinant identities for moments of orthogonal polynomials
(video
of a 50 minutes version)
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Bounded Dyck paths, bounded alternating sequences, orthogonal polynomials,
and reciprocity
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Proofs of Borwein Conjectures
(video)
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Identities for cylindric Schur functions
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Domino tilings of generalized Aztec triangles
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Domino tilings of generalised Aztec triangles and determinant evaluations
(video)
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Congruence properties of Taylor coefficients of modular forms
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Uvarov's formula - a thorough discussion