The first moment of quadratic Dirichlet L-functions

Matthew P. Young

doi:10.4064/aa138-1-4

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arXiv · 0804.4141

The first moment of quadratic Dirichlet L-functions

Matthew P. Young

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Abstract

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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Matthew P. Young. 2008-05-14. The first moment of quadratic Dirichlet L-functions. https://doi.org/10.4064/aa138-1-4

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