This article is cited in 1 paper

The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands

P. Z. Rakhmonov

Lomonosov Moscow State University

Abstract: An asymptotic formula in the generalized Estermann ternary problem for noninteger powers with almost equal summands dealing with the representation of a sufficiently large natural number as the sum of two primes and the integer part of a noninteger power of a natural number is proved.

Keywords: Estermann problem, almost equal summands, short trigonometric sum with noninteger exponent, density theorem.

UDC: 511.24

Received: 02.02.2015
Revised: 28.01.2016

DOI: 10.4213/mzm10767

 English version: Mathematical Notes, 2016, 100:3, 438–447

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