Extended automorphic forms on the upper half plane (Q1318095)
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scientific article; zbMATH DE number 537283
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended automorphic forms on the upper half plane |
scientific article; zbMATH DE number 537283 |
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Extended automorphic forms on the upper half plane (English)
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9 May 1994
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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 \textit{D. Zagier's} idea of renormalization [J. Fac. Sci. Univ. Tokyo, Ser. I A 28, 415-437 (1982; Zbl 0505.10011)] so that it can be generalized easily to higher rank quotients (which is not done in this paper, however).
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automorphic forms
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arithmetic quotients of the upper half-plane
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volume formula
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Maass-Selberg relations
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0.9168337
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0.89823335
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0.8830159
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0.88019973
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0.87580407
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