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Free Algebras of Automorphic Forms on the Upper Half-Plane
Authors:O. V. Shvartsman
Affiliation:(1) Mathematical College, Independent Moscow University, Russia
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
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