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math.NT2022
Kampé de Fériet hypergeometric functions over finite fields
Ryojun Ito, Satoshi Kumabe, Akio Nakagawa +1
Kampé de Fériet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction a…
math.NT2022
Hypergeometric expressions of -values for a Borweins theta product of weight
Ryojun Ito
In this paper, we consider a modular form of weight 3, which is a product of the Borweins theta series, and express its -values at , and in terms of special values…