Hypergeometric Functions and Relations to Dwork Hypersurfaces

Heidi Goodson

We give an expression for number of points for the family of Dwork K3 surfaces $$X_{\lambda }^4:x_1^4+x_2^4+x_3^4+x_4^4=4\lambda x_1{x}_2{x}_3{x}_4$$ over finite fields of order $q\equiv…