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A FUNCTIONAL LOGARITHMIC FORMULA FOR THE HYPERGEOMETRIC FUNCTION $_{3}F_{2}$

Part of: Abelian varieties and schemes $K$-theory in number theory Arithmetic algebraic geometry Families, fibrations

Published online by Cambridge University Press:  14 September 2018

MASANORI ASAKURA  and
NORIYUKI OTSUBO
MASANORI ASAKURA
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo, 060-0810 Japan email [email protected]
NORIYUKI OTSUBO
Affiliation:
Department of Mathematics and Informatics, Chiba University, Chiba, 263-8522 Japan email [email protected]
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Abstract

We give a sufficient condition for the hypergeometric function $_{3}F_{2}$ to be a linear combination of the logarithm of algebraic functions.

MSC classification

Primary: 33C20: Generalized hypergeometric series, $_pF_q$
Secondary: 19F27: Étale cohomology, higher regulators, zeta and $L$-functions 11G15: Complex multiplication and moduli of abelian varieties 14D07: Variation of Hodge structures 14K22: Complex multiplication
Type
Article
Information
Nagoya Mathematical Journal , Volume 236: Celebrating the 60th Birthday of Shuji Saito , December 2019 , pp. 29 - 46
Copyright
© 2018 Foundation Nagoya Mathematical Journal  

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