Rational Period Functions and Parabolic Cohomology
نویسندگان
چکیده
منابع مشابه
Rational Period Functions and Cycle Integrals
The existence of such a basis is well-known, and our aim here is to illustrate the effectiveness of using weakly holomorphic forms in providing one. Our main goal is to construct modular integrals for certain rational solutions ψ to (1) for any k ∈ Z made out of indefinite binary quadratic forms. A modular integral for ψ is a periodic function F holomorphic on the upper half-plane H and meromor...
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The work described here began as an attempt to understand the structure of the cohomology groups associated to a subgroup ? of nite index of SL 2 (Z) which are not congruence subgroups. One knows that to the space of cusp forms of weight w > 2 on ? (whose dimension we denote by d) one can 15] attach a motive M, which is pure of weight w?1 and of rank 2d, deened over some number eld; it is a dir...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1996
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0033