Institute of Mathematics for Industry


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Hypergeometric expressions for modular functions

Hold Date 2018-06-28 16:00~2018-06-28 17:30

Place Lecture Room M W1-C-512, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Raimundas Vidunas

The well-known Rogers-Ramanujan series of modular level 5 can be expressed in terms of 2F1-hypergeometric functions with the icosahedral projective monodromy. We show that similar series of level 7 can be expressed as 3F2-hypergeometric functions with the PSL(2,7) projective monodromy of 168 elements.