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

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

2001-11-07

arxiv.org/abs/math/0111081v1

Mathematical Physics Electronic Journal 7 (2001) 1-18

Mathematics

Number Theory

18 pages

Scientific paper

For 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.

Affiliated with

Also associated with

No associations

Rating

An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An isomorphism between polynomial eigenfunctions of the transfer operator and the Eichler cohomology for modular groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102875