An algebro-geometric study of special values of hypergeometric functions ${}_3{F}_2$

Abstract

For certain class of hypergeometric functions ${}_3{F}_2$ with rational parameters, we give a sufficient condition for the special value at $1$ to be expressed in terms of logarithms of algebraic numbers. We give two proofs, both of which are algebro-geometric and related to higher regulators.

11 pages. The title was changed from "An algebro-geometric study of the unit arguments ${}_3{F}_2(1,1,q;a,b;1)$, I"

Cited by in corpus (3)

• Regulators of K_1 of Hypergeometric Fibrations
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• A functional logarithmic formula for hypergeometric functions 3F2