Acta Mathematica Hungarica
Volume/Issue:
Volume 114: Issue 1-2
Exceptional set of a representation with fractional powers
Authors:
E. Balanzario UNAM Instituto de Matemáticas Campus Morelia Ap. Postal 61-3 (Xangari) C.P. 58089 Morelia, Michoacán México

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M. Garaev UNAM Instituto de Matemáticas Campus Morelia Ap. Postal 61-3 (Xangari) C.P. 58089 Morelia, Michoacán México

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R. Zuazua UNAM Instituto de Matemáticas Campus Morelia Ap. Postal 61-3 (Xangari) C.P. 58089 Morelia, Michoacán México

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Pages:
103–115
Online Publication Date:
22 Nov 2006
Publication Date:
01 Jan 2007
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-006-0516-8
Keywords:
Waring-Goldbach type problems; exponent pairs; 11P05; 11P32
Restricted access

Abstract  

We prove that for any given c, 1 < c < 17/11, almost all natural numbers are representable in the form [xc] + [pc], where x is a natural number and p is a prime.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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