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Exceptional set of a representation with fractional powers
Authors:E. P. Balanzario  M. Z. Garaev  R. Zuazua
Affiliation:(1) Instituto de Matemáticas, UNAM, Campus Morelia, Ap. Postal 61-3 (Xangari), C.P. 58089 Morelia, Michoacán, México
Abstract:We prove that for any given c, 1 < c < 17/11, almost all natural numbers are representable in the form [x c] + [p c], where x is a natural number and p is a prime.
Keywords:Waring-Goldbach type problems  exponent pairs
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