Large even order character sums-Reference-Cited by-同舟云学术

Large even order character sums

Published:2014-04-08 Issue:8 Volume:142 Page:2609-2614
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Goldmakher Leo,Lamzouri Youness

Abstract

A classical theorem of Paley asserts the existence of an infinite family of quadratic characters whose character sums become exceptionally large. In this paper, we establish an analogous result for characters of any fixed even order. Previously our bounds were only known under the assumption of the Generalized Riemann Hypothesis.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2014-142-08/S0002-9939-2014-11990-3/S0002-9939-2014-11990-3.pdf

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4. Large character sums: pretentious characters and the Pólya-Vinogradov theorem;Granville, Andrew;J. Amer. Math. Soc.,2007

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