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arXiv:0804.4141 [math.NT]AbstractReferencesReviewsResources

The first moment of quadratic Dirichlet L-functions

Matthew P. Young

Published 2008-04-25, updated 2008-05-14Version 3

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.

Comments: 24 pages. v2: Fixed typos in the statements of Theorem 1.1 and Remark 2.2. v3: Improved notation and fixed typos
Journal: Acta Arith. 138 (2009), no. 1, 73-99
Categories: math.NT
Subjects: 11M06
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