Selberg ’ s zeta functions for congruence subgroups of modular groups in SL 2 ( R ) and SL 2 ( C ) Yasufumi Hashimoto
نویسنده
چکیده
Sarnak gave an expressions of Selberg’s zeta function for the modular group in terms of the class numbers and the fundamental units of the indefinite binary quadratic forms. The main result of the present paper is the extension of his expression to the congruence subgroups of the modular groups in SL2(R) and SL2(C).
منابع مشابه
Selberg ’ s zeta functions for congruence subgroups of modular groups in SL 2 ( R ) and SL 2 ( C )
It is known that the Selberg zeta function for the modular group has an expression in terms of the class numbers and the fundamental units of the indefinite binary quadratic forms. In the present paper, we generalize such a expression to any congruence subgroup of the modular groups in SL2(R) and SL2(C).
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تاریخ انتشار 2008