Exponential sums over primes in an arithmetic progression-Reference-Cited by-同舟云学术

Exponential sums over primes in an arithmetic progression

Published:1985 Issue:4 Volume:93 Page:578-582
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Balog Antal,Perelli Alberto

Abstract

In 1979 A. F. Lavrik obtained some estimates for exponential sums over primes in arithmetic progressions by an analytic method. In the present paper we give an estimate for the same sums, comparable with Lavrik’s estimate, by means of elementary methods like Vaughan’s identity.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-04/S0002-9939-1985-0776182-0/S0002-9939-1985-0776182-0.pdf

Reference4 articles.

1. On sums over primes;Balog, Antal,1985

2. Analytic method of estimates of trigonometric sums by the primes of an arithmetic progression;Lavrik, A. F.;Dokl. Akad. Nauk SSSR,1979

3. R. C. Vaughan, On the estimation of trigonometrical sums over primes, and related questions, Mittag-Leffler Institut Report, no. 9, 1977.

4. Sommes trigonométriques sur les nombres premiers;Vaughan, Robert-C.;C. R. Acad. Sci. Paris S\'{e}r. A-B,1977

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