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# Texas A&M Number Theory Seminar

##
Department of Mathematics

Milner 317

Wednesdays, 12:30-1:30 PM

Jenny Fuselier

Texas A&M University
**Wednesday, February 7**

Milner 317, 12:30 PM

**Abstract:**
In the 1980s, Greene and Stanton introduced the notion of
hypergeometric functions over a finite field. They showed that
these functions satisfy many properties and relations similar to those
enjoyed by classical hypergeometric functions. In this talk, we
will introduce hypergeometric functions over F_p and then explore the
relationships their values have to counting points on elliptic curves
over F_p. In particular, we will prove a theorem giving an
explicit relationship between the values of a certain hypergeometric
function over F_p and the number of points on the family of elliptic
curves with j-invariant 1728/t.