The distribution of values of L(1,chi_d)

Details The distribution of values of L(1,chi_d) The distribution of values of L(1,chi_d)

2002-06-04

arxiv.org/abs/math/0206031v1

Mathematics

Number Theory

34 pages

Scientific paper

In this paper we investigate the distribution of values of L(1,chi) as chi
ranges over primitive real characters. In particular we focus on the extent to
which this distribution may be approximated by "random Euler products." Our
work also establishes a recent conjecture of Montgomery and Vaughan on the
frequency of large (or small) values of L(1,chi).

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