Christoph Baxa
A short curriculum vitae
Education:
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M.A. 1990 University of Vienna
Thesis: Primzahlerzeugende Funktionen und das 10. Hilbertsche Problem
(Prime representing functions and Hilbert's Tenth Problem)
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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))
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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)
Professional Experience:
Honours and Awards:
Research Grants:
Other Professional Activities and Membership of Professional Organizations:
Publications
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Über Gandhis Primzahlformel (On Gandhi's prime number formula),
Elem. Math.
47 (1992), 82-84.
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A note on Diophantine representations,
Amer. Math. Monthly
100 (1993), 138-143.
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Fast growing sequences of partial denominators,
Acta Math. Inform. Univ. Ostraviensis
2 (1994), 81-84.
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with J. Schoißengeier,
Minimum and maximum order of magnitude of the discrepancy of (nα),
Acta Arith.
68 (1994), 281-290.
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On the discrepancy of the sequence (nα),
J. Number Theory
55 (1995), 94-107.
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On the distribution of the sequence (nα) with transcendental α,
Acta Arith.
81 (1997), 357-363.
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with J. Schoißengeier,
On the discrepancy of the sequence (α√n),
J. Lond. Math. Soc.
57 (1998), 529-544.
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On the discrepancy of the sequence (α√n) II,
Arch. Math.
70 (1998), 366-370.
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Some remarks on the discrepancy of the sequence (α√n),
Acta Math. Inform. Univ. Ostraviensis
6 (1998), 27-30.
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On the growth of the denominators of convergents,
Acta Math. Hung.
83 (1999), 125-130.
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Comparing the distribution of (nα) - sequences,
Acta Arith.
94 (2000), 345-363.
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Diophantine representation of the decimal expansions of e and π,
Math. Slovaca
50 (2000), 531-539.
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with J. Schoißengeier,
Calculation of improper integrals using (nα) - sequences,
Monatsh. Math.
135 (2002), 265-277.
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Some remarks on the distribution of a sequence connected with ζ(1⁄2),
Experiment. Math.
11 (2002), 465-468.
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A note on the distribution of the sequence (nα) with transcendental α,
Acta Math. Hung.
100 (2003), 303-308.
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Extremal values of continuants and transcendence of certain continued fractions,
Adv. Appl. Math.
32 (2004), 754-790.
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Calculation of improper integrals using uniformly distributed sequences,
Acta Arith.
119 (2005), 373-406.
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Lévy constants of quadratic irrationalities,
Unif. Distrib. Theory
3 (2008), 147-155.
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Lévy constants of transcendental numbers,
Proc. Amer. Math. Soc.
137 (2009), 2243-2249.
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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.
Go to
Department of Mathematics Home Page
Your comments, suggestions and criticism are appreciated.
Please write to
christoph.baxa@univie.ac.at.