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A FUNCTIONAL LOGARITHMIC FORMULA FOR THE HYPERGEOMETRIC FUNCTION

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Publication:5112744
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DOI10.1017/nmj.2018.33zbMath1440.33003arXiv1801.06312OpenAlexW2890270331MaRDI QIDQ5112744

Masanori Asakura, Noriyuki Otsubo

Publication date: 8 June 2020

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06312


Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Variation of Hodge structures (algebro-geometric aspects) (14D07) Generalized hypergeometric series, ({}_pF_q) (33C20) Complex multiplication and abelian varieties (14K22) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)


Related Items

Explicit logarithmic formulas of special values of hypergeometric functions 3F2, Regulators of K1 of Hypergeometric Fibrations


Uses Software

  • DLMF


Cites Work

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  • Monodromy for the hypergeometric function \(_ nF_{n-1}\)
  • Limits of Hodge structures
  • CM periods, CM regulators and hypergeometric functions. II
  • Hypergeometric Abelian Varieties
  • CM Periods, CM Regulators, and Hypergeometric Functions, I
  • Variations of Hodge Structures for Hypergeometric Differential Operators and Parabolic Higgs Bundles
  • AN ALGEBRO-GEOMETRIC STUDY OF SPECIAL VALUES OF HYPERGEOMETRIC FUNCTIONS
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