Vol. 8, No. 3, 2015

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${}_3 F_2$-hypergeometric functions and supersingular elliptic curves

Sarah Pitman

Vol. 8 (2015), No. 3, 481–490
Abstract

In recent work, Monks described the supersingular locus of families of elliptic curves in terms of 2F1-hypergeometric functions. We lift his work to the level of 3F2-hypergeometric functions by means of classical transformation laws and a theorem of Clausen.

Keywords
hypergeometric functions, supersingular, elliptic curves
Mathematical Subject Classification 2010
Primary: 11G20, 33C20
Milestones
Received: 17 July 2013
Revised: 2 September 2013
Accepted: 4 September 2013
Published: 5 June 2015

Communicated by Ken Ono
Authors
Sarah Pitman
Emory University
Department of Mathematics and Computer Science
400 Dowman Drive
Atlanta, Georgia 30322
United States