Voronoi's formulae and the Gauss problem

被引：0
|
作者：
Popov, D. A. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Belozersky Res Inst Phys Chem Biol, Moscow, Russia
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2024年 / 79卷 / 01期
关键词：
the circle problem; Voronoi's formula; long and short inter- vals; HIGHER-POWER MOMENTS; ERROR TERM; LATTICE POINTS; LAPLACE OPERATOR; DIVISOR; CIRCLE; DELTA(X); SPECTRUM; E(T);
D O I：
10.4213/rm10162e
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present classical and new results on the remainder term in the circle problem. The proofs are based on the application of various versions of Voronoi's formula. Bibliography: 54 titles.
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页码：53 / 126
页数：74
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