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Classical automorphic forms and hypergeometric functions. (English) Zbl 0644.10019
The author exhibits a graded algebra of hypergeometric functions and shows how to canonically identify it with the graded algebra of modular forms for the full modular group SL(2,). He also shows how Dedekind’s eta-function is related to the square root of a hypergeometric function and gives yet another simple proof of its functional equation.
Reviewer: A.Venkov

MSC:
11F11Holomorphic modular forms of integral weight
33C05Classical hypergeometric functions, 2 F 1