# CERTAIN IDENTITIES OF ZETA FUNCTIONS ON A QUATERNION ALGEBRA

• Kim, Insuk (Department of Mathematics Education, Wonkwang University) ;
• Jun, Sungtae (Division of Mathematics and Computer Science, Konkuk University)
• Accepted : 2013.02.08
• Published : 2013.03.25
• 90 51

#### Abstract

There are some identities between the representations of Hecke operators defined on a subspace of modular forms associated with orders of a Quaternion algebra. In this paper, we find the identities between the zeta functions attached to these representations.

#### Keywords

zeta function;order;quaternion algebra;hecke ring

#### Acknowledgement

Supported by : Konkuk University

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