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The generalized Estermann ternary problem for noninteger powers with almost equal summands

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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.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    P. Z. Rakhmonov

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  1. P. Z. Rakhmonov
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Correspondence to P. Z. Rakhmonov.

Additional information

Original Russian Text © P. Z. Rakhmonov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 3, pp. 410–420.

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Rakhmonov, P.Z. The generalized Estermann ternary problem for noninteger powers with almost equal summands. Math Notes 100, 438–447 (2016). https://doi.org/10.1134/S0001434616090108

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  • DOI: https://doi.org/10.1134/S0001434616090108

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