A new identity involving the classical Kloosterman sums and 2-dimensional Kloosterman sums-Reference-Cited by-同舟云学术

A new identity involving the classical Kloosterman sums and 2-dimensional Kloosterman sums

Published:2016-02 Issue:01 Volume:12 Page:111-119
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Zhang Wenpeng¹,Han Di¹

Affiliation:

1. School of Mathematics, Northwest University, Xi’an, Shaanxi, P. R. China

Abstract

The main purpose of this paper is, using the properties of Gauss sums and the estimate for trigonometric sums, to study the relationships between the sixth power mean of the classical Kloosterman sums and the fourth power mean of the 2-dimensional Kloosterman sums, and give an interesting identity for them.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211650007X

Reference11 articles.

1. CONGRUENCES FOR SUMS OF POWERS OF KLOOSTERMAN SUMS

2. Seventh power moments of Kloosterman sums

3. Polynomials for Kloosterman Sums

4. The modularity of the Barth--Nieto quintic and its relatives

5. Motivic orthogonal two-dimensional representations of Gal(ℚ/ℚ)

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