This article is cited in 9 papers

Enlarged Major Arcs in Additive Problems

J. Liu

Shandong University

Abstract: Enlarged major arcs in the Waring–Goldbach problem are studied by using large sieve estimates for Dirichlet polynomials and estimates for exponential sums over primes.

Keywords: Waring–Goldbach problem, major and minor arcs on the unit interval, Farey dissection, Dirichlet character.

UDC: 517

Received: 30.11.2009

DOI: 10.4213/mzm8815

 English version: Mathematical Notes, 2010, 88:3, 395–401

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