Airy Sums, Kloosterman Sums, and Salié Sums
✍ Scribed by Zhengyu Mao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 524 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
Let n>1 be an odd integer. The n th-degree Airy polynomial T n (t) is defined by the equality [3, p. 320] / i (x) (x+x &1 ).
📜 SIMILAR VOLUMES
The purpose of this article is to prove several identities of Kloosterman sums based on the recent progress in the theory of relative trace formulas. (f) 1995 Academic Press. Inc.
A new upper bound is obtained for the incomplete hyper-Kloosterman sum by means of Burgess' estimate, provided the number of variables in the sum is sufficiently large. ## 1999 Academic Press In connection with the problem of expressing integers by a positive definite integral quadratic form in fo