On Exact Formulas for the Number of Integral Points

被引：0

作者：

Smirnov A. ^{[1
]}

机构：

[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2014年 / 202卷 / 3期

基金：

俄罗斯基础研究基金会; 英国工程与自然科学研究理事会;

关键词：

Vector Bundle; Integral Point; Toric Variety; Dirichlet Series; Exact Formula;

D O I：

10.1007/s10958-014-2054-1

中图分类号：

学科分类号：

摘要：

Exact formulas for the number of integral points in certain ellipses are obtained. These formulas generalize a formula of Eisenstein and belong to a rare type of exact formulas for the number of lattice points in curvilinear domains. The formulas obtained may be useful in studying the Riemann–Roch problem for arithmetic varieties. © 2014, Springer Science+Business Media New York.

引用

页码：448 / 454

页数：6

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