Overpartitions and ternary quadratic forms

被引：7
|
作者：
Xiong, Xinhua [1 ]
机构：
[1] China Three Gorges Univ, Dept Math, Yichang 443002, Hubei, Peoples R China
来源：
RAMANUJAN JOURNAL | 2017年 / 42卷 / 02期
关键词：
Ternary quadratic forms; Overpartition; Congruences; POWERS;
D O I：
10.1007/s11139-016-9773-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let denote the number of overpartitions of n. Recently, Mahlburg showed that and Kim showed that for almost all integers n. In this paper, with the help of some ternary quadratic forms, we prove that for almost all integers n, which was conjectured by Mahlburg.
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页码：429 / 442
页数：14
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