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A note on the Waring–Goldbach problem
- Source :
-
Journal of Number Theory . Jan2010, Vol. 130 Issue 1, p116-127. 12p. - Publication Year :
- 2010
-
Abstract
- Abstract: The focus of this paper will be the extension of the Waring–Goldbach problem to all sufficiently large integers, without congruence restrictions. By reintroducing the effect of small primes, we are able to consider questions which more naturally resemble Waring''s problem and the Goldbach conjecture. We extend the results of S.S. Pillai by considering the problem without the use of zero as an addend and we give a small improvement on the number of additional terms required. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 130
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 44716226
- Full Text :
- https://doi.org/10.1016/j.jnt.2009.07.006