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Author
Date
2021-03-17Type
- Working Paper
ETH Bibliography
yes
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Abstract
For any noncocompact Fuchsian group Γ, we show that periods of the canonical differential of the third kind associated to residue divisors of cusps are expressed in terms of Rademacher symbols for Γ - generalizations of periods appearing in the classical theory of modular forms. This result provides a relation between Rademacher symbols and the famous theorem of Manin and Drinfeld. More precisely, Fuchsian groups whose Rademacher symbols are rational-valued verify the statement of Manin-Drinfeld. We then establish the rationality of Rademacher symbols for various families of Fuchsian groups. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000526989Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
08802 - Iozzi, Alessandra (Tit.-Prof.)
Related publications and datasets
Is new version of: https://doi.org/10.3929/ethz-b-000463724
Is previous version of: https://doi.org/10.3929/ethz-b-000601167
Notes
“The Manin-Drinfeld theorem and the rationality of Rademacher symbols,” Accepted in Journal de Théorie des Nombres de Bordeaux.More
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ETH Bibliography
yes
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