Transformation Formulas for Generalized Dedekind Eta Functions | Zendy

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Transformation Formulas for Generalized Dedekind Eta Functions

Author(s) -

Yang Yifan

Publication year - 2004

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609304003510

Subject(s) - mathematics , dedekind cut , dedekind sum , congruence (geometry) , torsion (gastropod) , dedekind eta function , pure mathematics , transformation (genetics) , mathematics subject classification , algebra over a field , modular form , geometry , eisenstein series , medicine , biochemistry , chemistry , surgery , gene

Transformation formulas are obtained for generalized Dedekind eta functions; these are simpler to apply than Schoeneberg's formulas. As an application, a list is given of the generators of all the function fields associated with torsion‐free genus zero congruence subgroups of PSL 2 (R). 2000 Mathematics Subject Classification 11F20 (primary), 20H05 (secondary).

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