Journal of the Australian Mathematical Society

Research Article

Zeta functions of twisted modular curves

Cristian Virdola1

a1 University of California, Los Angeles, Department of Mathematics, Los Angeles, CA, USA, e-mail:


In this paper we compute and continue meromorphically to the whole complex plane the zeta function for twisted modular curves. The twist of the modular curve is done by a mod p representation of the absolute Galois group.

(Received September 01 2004)

(Revised January 11 2005)

2000 Mathematics subject classification

  • primary 11G18;
  • 11R42;
  • 11R65