Quaternionic modular forms and exceptional sets of hypergeometric functions

被引：2

作者：

Baba, Srinath ^{[1
]}

Granath, Hakan ^{[2
]}

机构：

[1] Champlain Coll, St Lambert, PQ J4P 3P2, Canada

[2] Karlstad Univ, Dept Math, S-65188 Karlstad, Sweden

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2015年 / 11卷 / 02期

关键词：

Modular form; Shimura curve; hypergeometric function; SPECIAL VALUES; PERIODS; SERIES; VARIETIES; CURVES;

D O I：

10.1142/S1793042115500347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the exceptional sets of hypergeometric functions corresponding to the (2, 4, 6) triangle group by relating them to values of certain quaternionic modular forms at CM points. We prove a result on the number fields generated by exceptional values, and by using modular polynomials we explicitly compute some examples.

引用

页码：631 / 643

页数：13

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