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Type: Article
Exceptional set of a representation with fractional powers
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.
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: EXPONENTIAL-SUMS; ADDITIVE PROBLEM
MSC: 11P32 (11P05)
Journal: Acta Mathematica Hungarica
ISSN: 0236-5294
Year: 2007
Volume: 114
Number: 1-2
Pages: 103--115
Created: 2012-12-05 12:53:56
Modified: 2013-09-03 12:30:50
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