Extended automorphic forms on the upper half plane
نویسنده
چکیده
A variant of Hadamard’s notion of partie finie is applied to the theory of automorphic functions on arithmetic quotients of the upper half-plane. As a consequence, conceptually simple proofs of the volume formula and the Maass-Selberg relations are given. This technique interprets Zagier’s idea of renormalization (Jour. Fac. Sci. Univ. Tokyo 28 (1982), 415–437) so that it can be generalized easily to higher rank quotients (which is not done in this paper, however). Running title: Extended automorphic forms
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