Hypergeometric functions over 𝔽_{𝕢} and traces of Frobenius for elliptic curves-Reference-Cited by-同舟云学术

Hypergeometric functions over 𝔽_{𝕢} and traces of Frobenius for elliptic curves

Published:2013-06-21 Issue:10 Volume:141 Page:3403-3410
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barman Rupam,Kalita Gautam

Abstract

We present explicit relations between the traces of Frobenius endomorphisms of certain families of elliptic curves and special values of 2 F 1 {_{2}}F_1 -hypergeometric functions over F q \mathbb {F}_q for q ≡ 1 ( mod 6 ) q \equiv 1 ( \text {mod}~6) and q ≡ 1 ( mod 4 ) q \equiv 1 ( \text {mod}~4) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-10/S0002-9939-2013-11617-5/S0002-9939-2013-11617-5.pdf

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