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On sums of squares of primes
- Source :
- Mathematical Proceedings of the Cambridge Philosophical Society. 140:1
- Publication Year :
- 2006
- Publisher :
- Cambridge University Press (CUP), 2006.
-
Abstract
- In this paper we consider the exceptional set of integers, not restricted by elementary congruence conditions, which cannot be represented as sums of three or four squares of primes. Using new exponential sums in tandem with a sieve method we are able to provide stronger “minor arc” estimates than previous authors, thereby improving the saving obtained in the exponent by a factor 8/7.
Details
- ISSN :
- 14698064 and 03050041
- Volume :
- 140
- Database :
- OpenAIRE
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Accession number :
- edsair.doi...........55e2d76855ba00f51d643b092c1f033e