Exponential sums over primes in an arithmetic progression
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- by Antal Balog and Alberto Perelli PDF
- Proc. Amer. Math. Soc. 93 (1985), 578-582 Request permission
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.References
- Antal Balog, On sums over primes, Elementary and analytic theory of numbers (Warsaw, 1982) Banach Center Publ., vol. 17, PWN, Warsaw, 1985, pp. 9–19. MR 840470
- A. F. Lavrik, Analytic method of estimates of trigonometric sums by the primes of an arithmetic progression, Dokl. Akad. Nauk SSSR 248 (1979), no. 5, 1059–1063 (Russian). MR 553926 R. C. Vaughan, On the estimation of trigonometrical sums over primes, and related questions, Mittag-Leffler Institut Report, no. 9, 1977.
- Robert-C. Vaughan, Sommes trigonométriques sur les nombres premiers, C. R. Acad. Sci. Paris Sér. A-B 285 (1977), no. 16, A981–A983 (French, with English summary). MR 498434
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 578-582
- MSC: Primary 11L40; Secondary 11L20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0776182-0
- MathSciNet review: 776182