Partial Gaussian sums III

Author:

Burgess D. A.

Abstract

For integers a, N and H > 0 writewhere ϰ denotes a non-principal Dirichlet character modulo the positive integer k and e(y) denotes e2πiy. By a well-known generalisation of the Póya–Vinogradov inequality

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. On the symmetry property of sums with Dirichlet characters;Vinogradov;Izv Akad Nauk UzSSR Ser Fiz-Mat Nauk,1965

2. On Character Sums and L -Series. II

3. Partial Gaussian Sums II

4. Estimation of Character Sums Modulo a Power of a Prime

5. Partial Gaussian Sums

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. An explicit Pólya-Vinogradov inequality via Partial Gaussian sums;Transactions of the American Mathematical Society;2020-07-08

2. On general partial Gaussian sums;Journal of Inequalities and Applications;2016-11-22

3. Prime Numbers;Universitext;2012

4. Bounds of incomplete multiple Kloosterman sums;Journal of Number Theory;2007-09

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