1) p n=1 The set of arguments s for which ((s) is defined can be extended to all s E C,s :f:. 1, and we may regard C as the group of all continuous quasicharacters C = Hom(R~, c> This book is devoted to the arithmetical theory of Siegel ...

... On the Siegel-Tatuzawa theorem for a class of L-functions, Kyushu J. Math. 62 (2008), 201–215. [Ing] A. E. Ingham, The distribution of prime numbers. Cambridge Tracts Math. Math. Phys., No. 30 Stechert-Hafner, Inc., New York 1964. [TIk] ...

Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products.

A large number of problems in number theory can be reduced to statements about L-functions. In this thesis, we study L-functions at the edge of the critical strip, and relate these to a variety of objects of arithmetic interest.