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Exponential sums over primes in short intervals.
- Source :
- Science in China. Series A: Mathematics, Physics & Astronomy; May2006, Vol. 49 Issue 5, p611-619, 9p
- Publication Year :
- 2006
-
Abstract
- In this paper we establish one new estimate on exponential sums over primes in short intervals. As an application of this result, we sharpen Hua’s result by proving that each sufficiently large integer N congruent to 5 modulo 24 can be written as , where p<subscript>j</subscript> are primes. This result is as good as what one can obtain from the generalized Riemann hypothesis. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10069283
- Volume :
- 49
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Science in China. Series A: Mathematics, Physics & Astronomy
- Publication Type :
- Academic Journal
- Accession number :
- 49372934
- Full Text :
- https://doi.org/10.1007/s11425-006-0611-x