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AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS
$_{3}F_{2}$
Published online by Cambridge University Press: 13 September 2018
Abstract
For a 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.
- Type
- Article
- Information
- Nagoya Mathematical Journal , Volume 236: Celebrating the 60th Birthday of Shuji Saito , December 2019 , pp. 47 - 62
- Copyright
- © 2018 Foundation Nagoya Mathematical Journal
Footnotes
This work is supported by JSPS Grant-in-Aid for Scientific Research: 15K04769, 25400007 and 15H02048.
References
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