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.
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页码：5 / 39
页数：35
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