Breaking the 1/2-barrier for the twisted second moment of Dirichlet L-functions

We study the second moment of Dirichlet L-functions to a large prime modulus q twisted by the square of an arbitrary Dirichlet polynomial. We break the -barrier in this problem, and obtain an asymptotic formula provided that the length of the Dirichlet polynomial is less than . As an application, we...

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Bibliographic Details
Main Authors: Bui, HM, Pratt, K, Robles, N, Zaharescu, A
Format: Journal article
Language:English
Published: Elsevier 2020