THE MEAN LATTICE POINT DISCREPANCY

被引：15

作者：

HUXLEY, MN ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1995年 / 38卷

关键词：

D O I：

10.1017/S0013091500019313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a sufficiently smooth simple closed convex plane curve enclosing the origin, expanding linearly with time. The root mean square of the discrepancy (number of lattice points minus area) from time t=M to t=M+1 is almost as small as the root mean square discrepancy from time t=0 to t=M, so the discrepancy has no memory.

引用

页码：523 / 531

页数：9

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