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Chebyshevskii Sbornik, 2015, Volume 16, Issue 1, Pages 248–253 (Mi cheb379)  
INTERNATIONAL CONFERENCE IN MEMORY OF A. A. KARATSUBA ON NUMBER THEORY AND APPLICATIONS

Generalized Estermann’s ternary problem for noninteger powers with almost equal summands

P. Z. Rakhmonov

Moscow
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Abstract: An asymptotic formula is obtained in generalized Estermann's ternary problem for noninteger powers with almost equal summands on the representations of a sufficiently large natural number as a sum of two primes and integer part of noninteger power of a natural number.
Bibliography: 9 titles.
Keywords: exponential sums, Estermann's ternary problem with noninteger exponents, almost equal summands.
Received: 26.02.2015
Bibliographic databases:
Document Type: Article
UDC: 511.524
Language: Russian
Citation: P. Z. Rakhmonov, “Generalized Estermann’s ternary problem for noninteger powers with almost equal summands”, Chebyshevskii Sb., 16:1 (2015), 248–253
Citation in format AMSBIB
\Bibitem{Rak15}
\by P.~Z.~Rakhmonov
\paper Generalized Estermann’s ternary problem for noninteger powers with almost equal summands
\jour Chebyshevskii Sb.
\yr 2015
\vol 16
\issue 1
\pages 248--253
\mathnet{http://mi.mathnet.ru/cheb379}
\elib{https://elibrary.ru/item.asp?id=23384588}
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