Modularity of a certain Calabi-Yau threefold and combinatorial congruences

被引：1

作者：

Mortenson, E ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

RAMANUJAN JOURNAL | 2006年 / 11卷 / 01期

关键词：

Calabi-Yau threefold; modular forms; trace formula;

D O I：

10.1007/s11139-006-5305-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S-4(Gamma(0)(6)). We also give a mod p(2) combinatorial expression for these coefficients.

引用

页码：5 / 39

页数：35

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