KLOOSTERMAN SUMS AND A MEAN-VALUE FOR DIRICHLET POLYNOMIALS

被引：28

作者：

WATT, N ^{[1
]}

机构：

[1] UNIV WALES COLL CARDIFF,SCH MATH,CARDIFF CF2 4AG,S GLAM,WALES

来源：

JOURNAL OF NUMBER THEORY | 1995年 / 53卷 / 01期

关键词：

D O I：

10.1006/jnth.1995.1086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a(1), a(2), a(3),... be complex numbers. Then, for epsilon > 0, M greater than or equal to 1 and T greater than or equal to 1, [GRAPHICS] where zeta(s) is Riemann's zeta-function and C-epsilon depends only on epsilon. The proof is based on a technical refinement within the circle of ideas to be found in Deshouillers and Iwaniec's paper: Kloosterman sums and Fourier coefficients of cusp forms (Invent. Math. 70 (1982), 219-288). (C) 1995 Academic Press, Inc.

引用

页码：179 / 210

页数：32

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