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Explicit construction of automorphic forms on $Sp(1,q)$(Automorphic Forms and Automorphic L-Functions)

open access: yesExplicit construction of automorphic forms on $Sp(1,q)$(Automorphic Forms and Automorphic L-Functions)
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Automorphic Forms and Smooth-Automorphic Forms

Series on Number Theory and Its Applications, 2023
Sudeep Kumar   +2 more
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Smooth-Automorphic Forms and Smooth-Automorphic Representations

2021
This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider "K-finite" automorphic forms, but we allow a richer class ...
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On the Boundedness of p-Integrable Automorphic Forms

Proceedings of the American Mathematical Society, 1974
For a Fuchsian group, a criterion is obtained in order that every p p -integrable automorphic form be bounded.
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Rigidity for automorphic forms

Journal d'Analyse Mathématique, 1987
For a general reductive group G, the multiplicity one theorem fails, but there is hope for the following ``global rigidity conjecture'': given an automorphic \(\pi =\otimes \pi_{\nu}\) and a finite set of places V, there are only finitely many automorphic \(\pi '=\otimes \pi '_{\nu}\) with \(\pi_{\nu}\) equivalent to \(\pi '_{\nu}\) for \(\nu\) outside
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Lifting of automorphic forms

2012
In the first three sections of this chapter we introduce the concept of lifting automorphic forms, the base change lift in particular. A few applications are discussed in relation to the period invariants. Shimura’s period conjectures and some of Yoshida’s work are summarized in the last two sections of this chapter.
Ze-Li Dou, Qiao Zhang
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Automorphic Forms on Feit’s Hermitian Lattices

Experimental Mathematics, 2021
Neil Dummigan
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