The first moment of quadratic Dirichlet L-functions

Details The first moment of quadratic Dirichlet L-functions The first moment of quadratic Dirichlet L-functions

2008-04-25

arxiv.org/abs/0804.4141v3

Acta Arith. 138 (2009), no. 1, 73-99

Mathematics

Number Theory

24 pages. v2: Fixed typos in the statements of Theorem 1.1 and Remark 2.2. v3: Improved notation and fixed typos

Scientific paper

10.4064/aa138-1-4

We obtain an asymptotic formula for the smoothly weighted first moment of
primitive quadratic Dirichlet L-functions at the central point, with an error
term that is "square-root" of the main term. Our approach uses a recursive
technique that feeds the result back into itself, successively improving the
error term.

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