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On some p-adic properties of the eichler-selberg trace formula

Published online by Cambridge University Press:  22 January 2016

Masao Koike*
Affiliation:
Nagoya University
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In this paper we shall prove some congruence relations mod pα between the traces of Hecke operators T(pm) which act on the space of cusp forms of different weights satisfying some congruences mod pα – pα-1 . The method of the proof is very simple and is applicable to all the cases where the trace formula for Hecke operators are already known.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975