A finite field hypergeometric function associated to eigenvalues of a Siegel eigenform Academic Article uri icon

abstract

  • © 2015 World Scientific Publishing Company. Although links between values of finite field hypergeometric functions and eigenvalues of elliptic modular forms are well known, we establish in this paper that there are also connections to eigenvalues of Siegel modular forms of higher degree. Specifically, we relate the eigenvalue of the Hecke operator of index p of a Siegel eigenform of degree 2 and level 8 to a special value of a 4F3-hypergeometric function.

author list (cited authors)

  • McCarthy, D., & Papanikolas, M. A.

citation count

  • 9

publication date

  • November 2015