Automorphic forms for subgroups of the modular group

Hershel M. Farkas; Irwin Kra

doi:10.1007/BF02808109

Automorphic forms for subgroups of the modular group

Hershel M. Farkas^*, Irwin Kra

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The theory of theta constants with rational characteristics is developed from the point of view of automorphic functions for the principal congruence subgroups of the modular group PSL(2, ℤ). New identities are derived and particular emphasis is given to the level 3 case where a striking generalization of the classical λ-function is obtained.

Original language	English
Pages (from-to)	87-131
Number of pages	45
Journal	Israel Journal of Mathematics
Volume	82
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02808109
State	Published - Jun 1993

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10.1007/BF02808109

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abstract = "The theory of theta constants with rational characteristics is developed from the point of view of automorphic functions for the principal congruence subgroups of the modular group PSL(2, ℤ). New identities are derived and particular emphasis is given to the level 3 case where a striking generalization of the classical λ-function is obtained.",

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AB - The theory of theta constants with rational characteristics is developed from the point of view of automorphic functions for the principal congruence subgroups of the modular group PSL(2, ℤ). New identities are derived and particular emphasis is given to the level 3 case where a striking generalization of the classical λ-function is obtained.

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Automorphic forms for subgroups of the modular group

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