# Christoph Baxa

**Homepage:** http://www.mat.univie.ac.at/~baxa/

**Fields of interest:**

My research interests are uniform distribution with emphasis on
discrepancies of special sequences, and continued fractions and
their connections with Diophantine approximation. Furthermore,
I take an active interest in Hilbert's Tenth Problem.

**Selected publications**

*The number of solutions of a diophantine equation over a recursive ring*, Proc. Amer. Math. Soc. 141 (2013), 4175-4178.*Lévy constants of transcendental numbers*, Proc. Amer. Math. Soc. 137 (2009), 2243-2249.*Calculation of improper integrals using uniformly distributed sequences*, Acta Arith. 119 (2005), 373-406.*Extremal values of continuants and transcendence of certain continued fractions*, Adv. Appl. Math. 32 (2004), 754-790.*Comparing the distribution of nα - sequences*, Acta Arith. 94 (2000), 345-363.*On the growth of the denominators of convergents*, Acta Math. Hung. 83 (1999), 125-130.*On the discrepancy of the sequence α√n*, (with J. Schoißengeier), J. Lond. Math. Soc. 57 (1998), 529-544.