Supercharacters and mixed moments of Kloosterman sums-Reference-Cited by-同舟云学术

Supercharacters and mixed moments of Kloosterman sums

Published:2018-05 Issue:04 Volume:14 Page:1023-1032
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Chávez Ángel¹,Todd George²

Affiliation:

1. Department of Mathematics, Pomona College, 610 N. College Ave., Claremont, CA 91711, USA

2. Department of Mathematics, Union College, Bailey Hall 202, Schenectady, NY 12308, USA

Abstract

Recent work has realized Kloosterman sums as supercharacter values of a supercharacter theory on [Formula: see text]. We use this realization to express fourth degree mixed power moments of Kloosterman sums in terms of the trace of Frobenius of a certain elliptic curve.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118500616

Reference20 articles.

1. Basic Characters of the Unitriangular Group

2. The Basic Character Table of the Unitriangular Group

3. Basic characters of the unitriangular group (for arbitrary primes)

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5. The Graphic Nature of the Symmetric Group

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