Science in China Series A: Mathematics

, Volume 41, Issue 11, pp 1158–1162

A hyper-Kloosterman sum identity

  • Yangbo Ye
Article

DOI: 10.1007/BF02871978

Cite this article as:
Ye, Y. Sci. China Ser. A-Math. (1998) 41: 1158. doi:10.1007/BF02871978

Abstract

From a Davenport-Hasse identity of Gauss sums an identity of a hyper-Kloosterman sum has been deduced. Using this identity the theory of Kloosterman sheaves and equidistribution of hyper-Kloosterman sums can be applied to an exponential sum over a cyclic algebraic number field of prime degree. This identity might also be applied to base change problems in representation theory via a possible relative trace formula over the cyclic number field.

Keywords

Kloosterman sum

Copyright information

© Science in China Press 1998

Authors and Affiliations

  • Yangbo Ye
    • 1
  1. 1.Department of MathematicsUniversity of IowaIowa CityUSA