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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 410–420
DOI: https://doi.org/10.4213/mzm10767 (Mi mzm10767) 		 
The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands

P. Z. Rakhmonov

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10767
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.
Received: 02.02.2015
Revised: 28.01.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 438–447
DOI: https://doi.org/10.1134/S0001434616090108
Bibliographic databases:
Document Type: Article
UDC: 511.24
Language: Russian
Citation: P. Z. Rakhmonov, “The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands”, Mat. Zametki, 100:3 (2016), 410–420; Math. Notes, 100:3 (2016), 438–447
Citation in format AMSBIB
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