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math.NT2021
AGM and jellyfish swarms of elliptic curves
Michael J. Griffin, Ken Ono, Neelam Saikia +1
The classical produces wonderful interdependent infinite sequences of arithmetic and geometric means with common limit. For finite fields with $q\equ…
math.NT2021★ 3 cited
Distribution of values of Gaussian hypergeometric functions
Ken Ono, Hasan Saad, Neelam Saikia
In the 1980's, Greene defined {\it hypergeometric functions over finite fields} using Jacobi sums. The framework of his theory establishes that these functions possess many propert…