A formula and a congruence for Ramanujan's tau-function Academic Article uri icon

abstract

  • We determine formulas for Ramanujans au -function and for the coefficients of modular forms on 0 ( 2 ) Gamma _0(2) in terms of finite field 3 F 2 {}_3F_2 -hypergeometric functions. Using these formulas we obtain a new congruence of ( p ) ( mod 11 ) au (p) pmod {11} .

published proceedings

  • PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

  • Papanikolas, M.

citation count

  • 5

complete list of authors

  • Papanikolas, M

publication date

  • February 2006