Upper bounds for |L(1,chi)|

Details Upper bounds for |L(1,chi)| Upper bounds for |L(1,chi)|

2001-06-20

arxiv.org/abs/math/0106176v1

Mathematics

Number Theory

22 pages

Scientific paper

Given a non-principal Dirichlet character chi mod q, an important problem in
number theory is to obtain good estimates for the size of L(1,chi). In this
paper we focus on sharpening the upper bounds known for |L(1,chi)|; in
particular, we wish to determine constants c (as small as possible) for which
the bound |L(1,chi)| <= (c+o(1)) log q holds.

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