A generalization on the difference between an integer and its inverse modulo Q

作者：Zhang Tian Ping^*; Zhang Wen Peng

来源：Acta Mathematica Sinica-English Series, 2008, 24(2): 215-222.

DOI：10.1007/s10114-007-0942-8

• generalization
• mean value
• hyper-Kloosterman sums

The main purpose of this paper is to use the properties of the Gauss sums, primitive characters and the mean value of Dirichlet L-functions to study the hybrid mean value of the error term E(n, 1, c, q) and the hyper-Kloosterman sums K(h, n + 1, q), the asymptotic property of the mean square value Sigma(p)(c=1) E-2 (n, 1, c, p), and give two interesting mean value formulae.

• 出版日期2008-2
• 单位西北大学; 陕西师范大学