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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2003 Volume 37, Issue 2, Pages 81–89 (Mi faa151)
This article is cited in 1 paper

Free Algebras of Automorphic Forms on the Upper Half-Plane

O. V. Schwarzman

Independent University of Moscow

Abstract: We find all pairs $(\Gamma,a)$ consisting of a cocompact Fuchsian group $\Gamma$ of genus zero and an automorphy factor $a$ of $\Gamma$ for which the graded algebra of $a$-$\Gamma$-automorphic forms is free.

Keywords: Fuchsian group, cocycle, automorphic form, free algebra.

UDC: 515.173+512.745

Received: 27.08.2002

DOI: 10.4213/faa151


 English version: Functional Analysis and Its Applications, 2003, 37:2, 147–154

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© Steklov Math. Inst. of RAS, 2025