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

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.

UDC: 511.524

Received: 26.02.2015

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