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: cvirdol@math.ucla.edu

Abstract

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