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EULERIANITY OF FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS
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Gourevitch, D. (författare)
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- Gustafsson, Henrik P. A., 1988 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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Kleinschmidt, A. (författare)
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- Persson, Daniel, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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Sahi, S. (författare)
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(creator_code:org_t)
- 2021-06-07
- Engelska.
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Ingår i: Representation Theory. - : American Mathematical Society (AMS). - 1088-4165. ; 25, s. 481-507
- Relaterad länk:
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https://www.ams.org/...
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https://gup.ub.gu.se...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study the question of Eulerianity (factorizability) for Fourier coefficients of automorphic forms, and we prove a general transfer theorem that allows one to deduce the Eulerianity of certain coefficients from that of another coefficient. We also establish a `hidden' invariance property of Fourier coefficients. We apply these results to minimal and next-to-minimal automorphic representations, and deduce Eulerianity for a large class of Fourier and Fourier-Jacobi coefficients. In particular, we prove Eulerianity for parabolic Fourier coefficients with characters of maximal rank for a class of Eisenstein series in minimal and next-to-minimal representations of groups of ADE-type that are of interest in string theory.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Euler product
- Fourier coefficients on reductive groups
- Fourier-Jacobi
- coefficients
- automorphic forms
- automorphic representation
- minimal
- representation
- next-to-minimal representation
- Whittaker support
- nilpotent orbit
- wave-front set
- Eisenstein series
- small representations
- minimal representations
- eisenstein series
- exceptional group
- constructions
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)