Geodesic
The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands
Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 410-420

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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. 
P. Z. Rakhmonov. The Generalized Estermann Ternary Problem for Noninteger Powers with Almost Equal Summands. Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 410-420. http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a7/
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