A note on burgess bound

Document Type

Book Chapter

Publication Title

Springer Proceedings in Mathematics and Statistics

Abstract

Let f be a SL(2, ℤ) Hecke cusp form, and let χ be a primitive Dirichlet character modulo M, which we assume to be prime. We prove the Burgess-type bound for the twisted L-function: (formula presented). The method also yields the original bound of Burgess for Dirichlet L-functions: (formula presented).

First Page

273

Last Page

289

Publication Date

1-1-2018

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