The sphere problem and the L-functions

被引：7
作者：
Chamizo, F. [1 ]
Cristobal, E. [1 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Fac Ciencias, E-28049 Madrid, Spain
来源：
ACTA MATHEMATICA HUNGARICA | 2012年 / 135卷 / 1-2期
关键词：
lattice point; exponential sum; L-function; character sum; LATTICE POINTS; DISCREPANCY;
D O I：
10.1007/s10474-011-0144-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We improve the upper bound for the lattice point discrepancy of large spheres under conjectural properties of the real L-functions. In connection with this we give some new unconditional estimates for exponential and character sums of independent interest.
引用
收藏
页码：97 / 115
页数：19
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