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
收藏
页码：631 / 643
页数：13
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