# Christoph Baxa

## A short curriculum vitae

### Education:

• M.A. 1990 University of Vienna
Thesis: Primzahlerzeugende Funktionen und das 10. Hilbertsche Problem (Prime representing functions and Hilbert's Tenth Problem)
• Ph.D. 1994 University of Vienna
Thesis: Die maximale Größenordnung der Diskrepanz der Folge (nα) (The maximum order of magnitude of the discrepancy of the sequence (nα))
• Habilitation 2000 University of Vienna
Thesis: Abschätzungen für Diskrepanzen spezieller gleichverteilter Folgen und verwandter Größen (Estimates for discrepancies of special uniformly distributed sequences and related quantities)

## Publications

1. Über Gandhis Primzahlformel (On Gandhi's prime number formula), Elem. Math. 47 (1992), 82-84.
2. A note on Diophantine representations, Amer. Math. Monthly 100 (1993), 138-143.
3. Fast growing sequences of partial denominators, Acta Math. Inform. Univ. Ostraviensis 2 (1994), 81-84.
4. with J. Schoißengeier, Minimum and maximum order of magnitude of the discrepancy of (nα), Acta Arith. 68 (1994), 281-290.
5. On the discrepancy of the sequence (nα), J. Number Theory 55 (1995), 94-107.
6. On the distribution of the sequence (nα) with transcendental α, Acta Arith. 81 (1997), 357-363.
7. with J. Schoißengeier, On the discrepancy of the sequence (α√n), J. Lond. Math. Soc. 57 (1998), 529-544.
8. On the discrepancy of the sequence (α√n) II, Arch. Math. 70 (1998), 366-370.
9. Some remarks on the discrepancy of the sequence (α√n), Acta Math. Inform. Univ. Ostraviensis 6 (1998), 27-30.
10. On the growth of the denominators of convergents, Acta Math. Hung. 83 (1999), 125-130.
11. Comparing the distribution of (nα) - sequences, Acta Arith. 94 (2000), 345-363.
12. Diophantine representation of the decimal expansions of e and π, Math. Slovaca 50 (2000), 531-539.
13. with J. Schoißengeier, Calculation of improper integrals using (nα) - sequences, Monatsh. Math. 135 (2002), 265-277.
14. Some remarks on the distribution of a sequence connected with ζ(1⁄2), Experiment. Math. 11 (2002), 465-468.
15. A note on the distribution of the sequence (nα) with transcendental α, Acta Math. Hung. 100 (2003), 303-308.
16. Extremal values of continuants and transcendence of certain continued fractions, Adv. Appl. Math. 32 (2004), 754-790.
17. Calculation of improper integrals using uniformly distributed sequences, Acta Arith. 119 (2005), 373-406.
18. Lévy constants of quadratic irrationalities, Unif. Distrib. Theory 3 (2008), 147-155.
19. Lévy constants of transcendental numbers, Proc. Amer. Math. Soc. 137 (2009), 2243-2249.
20. The number of solutions of a diophantine equation over a recursive ring, Proc. Amer. Math. Soc. 141 (2013), 4175-4178.
Reviews of my papers in Mathematical Reviews and Zentralblatt.