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The second moment of quadratic Dirichlet L-functions

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Abstract In this paper, we compute the second moment of primitive quadratic Dirichlet L-functions with weight at the central point. By applying Young's methods ( [11] , [12] ), we… Click to show full abstract

Abstract In this paper, we compute the second moment of primitive quadratic Dirichlet L-functions with weight at the central point. By applying Young's methods ( [11] , [12] ), we obtain an asymptotic formula for the second moment with an error term that is“square-root” of the main term.

Keywords: moment; second moment; dirichlet functions; moment quadratic; quadratic dirichlet

Journal Title: Journal of Number Theory
Year Published: 2020

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