Hypergeometric functions and elliptic curves

DOI10.1007/s11139-006-0073-3zbMath1193.11057OpenAlexW2018656254MaRDI QIDQ861559

Jeremy Rouse

Publication date: 29 January 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-0073-3

zbMATH Keywords

elliptic curveshypergeometric functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (8)

CERTAIN VALUES OF GAUSSIAN HYPERGEOMETRIC SERIES AND A FAMILY OF ALGEBRAIC CURVES ⋮ Hasse invariants for the Clausen elliptic curves ⋮ 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 ⋮ ₃F₂ HYPERGEOMETRIC SERIES AND PERIODS OF ELLIPTIC CURVES ⋮ Hypergeometric functions over finite fields ⋮ Elliptic curves and special values of Gaussian hypergeometric series ⋮ Some supercongruences related to truncated hypergeometric series

Cites Work

• On maps with dense orbits and the definition of chaos
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series
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