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Waring's number mod m
- Source :
-
Journal of Number Theory . Sep2008, Vol. 128 Issue 9, p2582-2590. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: Let p be an odd prime and be the smallest positive integer s such that every integer is a sum of s kth powers . We establish and provided that k is not divisible by . Next, let , and q be any positive integer. We show that if then for some constant . These results generalize results known for the case of prime moduli. Video abstract: For a video summary of this paper, please visit http://www.youtube.com/watch?v=zpHYhwL1kD0. [Copyright &y& Elsevier]
- Subjects :
- *PRIME numbers
*INTEGERS
*MODULI theory
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 128
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 33532686
- Full Text :
- https://doi.org/10.1016/j.jnt.2008.03.006