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math.NT2012
The Dwork Family and Hypergeometric Functions
Adriana Salerno
In his work studying the Zeta functions of families of hypersurfaces, Dwork came upon a one-parameter family of hypersurfaces (now known as \emph{the} Dwork family). These examples…
math.NT2012
Counting Points over Finite Fields and Hypergeometric Functions
Adriana Salerno
It is a well known result that the number of points over a finite field on the Legendre family of elliptic curves can be written in terms of a hypergeometric function modulo . I…