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Zeta functions of twisted modular curves

Part of: Algebraic number theory: global fields Arithmetic algebraic geometry

Published online by Cambridge University Press:  09 April 2009

Cristian Virdol
Cristian Virdol
Affiliation:
University of California, Los Angeles, Department of Mathematics, Los Angeles, CA, USA, e-mail: cvirdol@math.ucla.edu
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Abstract

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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.

MSC classification

Secondary: 11G18: Arithmetic aspects of modular and Shimura varieties 11R42: Zeta functions and $L$-functions of number fields 11R65: Class groups and Picard groups of orders
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 80 , Issue 1 , February 2006 , pp. 89 - 103
Copyright
Copyright © Australian Mathematical Society 2006

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