Geodesic
Generalized Estermann’s ternary problem for noninteger powers with almost equal summands
Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 248-253

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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. 
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     author = {P. Z. Rakhmonov},
     title = {Generalized {Estermann{\textquoteright}s} ternary problem for noninteger powers with almost equal summands},
     journal = {\v{C}eby\v{s}evskij sbornik},
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P. Z. Rakhmonov. Generalized Estermann’s ternary problem for noninteger powers with almost equal summands. Čebyševskij sbornik, Tome 16 (2015) no. 1, pp. 248-253. http://geodesic.mathdoc.fr/item/CHEB_2015_16_1_a13/