3F2 HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES

DOI10.1142/S1793042110002946zbMath1193.11056arXiv0906.4508OpenAlexW2964175556MaRDI QIDQ3566634

Dermot McCarthy

Publication date: 8 June 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4508

zbMATH Keywords

elliptic curveshypergeometric seriesGaussian hypergeometric seriestrace of Frobeniusreal period

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES ⋮ Hasse invariants for the Clausen elliptic curves ⋮ Values of Gaussian hypergeometric series and their connections to algebraic curves ⋮ Zeros of \(p\)-adic hypergeometric functions, \(p\)-adic analogues of Kummer's and Pfaff's identities ⋮ Hypergeometric functions and a family of algebraic curves ⋮ On the polynomials \(x^d+ax^i+b\) and \(x^d+ax^{d-i}+b\) over \(\mathbb F_q\) and Gaussian hypergeometric series ⋮ Supercongruences for truncated hypergeometric series and p-adic gamma function ⋮ Elliptic curves and special values of Gaussian hypergeometric series ⋮ Hyperelliptic curves and its applications ⋮ Some supercongruences related to truncated hypergeometric series

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