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On Periods of Meromorphic Eichler Integrals

Published online by Cambridge University Press:  22 January 2016

Hiroki Sato*
Affiliation:
Department of Mathematics, Shizuoka University
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In this paper we treat cohomology groups H 1(G, C 2q-1, M) of meromorphic Eichler integrals for a finitely generated Fuchsian group G of the first kind. According to L. V. Ahlfors [2] and L. Bers [4], H 1(G, C 2q-1, M) is the space of periods of meromorphic Eichler integrals for G. In the previous paper [8], we had period relations and inequalities of holomorphic Eichler integrals for a certain Kleinian groups.

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