An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups

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dc.creatorMayer, D.
dc.creatorNeunhaeuserer, J.
dc.date2001-11-07
dc.date.accessioned2026-07-07T04:44:26Z
dc.date.available2026-07-07T04:44:26Z
dc.descriptionFor the group PSL(2,Z) it is known that there is an isomorphism between polynomial eigenfunctions of the transfer operator for the geodesic flow and the Eichler cohomology in the theory of modular forms. In a recent paper by Chang and Mayer it is indicated that such an isomorphism exists as well for certain subgroups of PSL(2,Z). We prove this and provide some evidence by computer aided algebraic calculations that such an isomorphism exists for all principal congruence subgroups and all congruence subgroups of Hecke type.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0111081
dc.identifierhttp://arxiv.org/abs/math/0111081
dc.identifierMathematical Physics Electronic Journal 7 (2001) 1-18
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62588
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subject11F11, 30F35, 37C30
dc.titleAn isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups
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