Results 21 to 30 of about 245 (37)

Witten Genus and Elliptic genera for proper actions

open access: yes, 2019
In this paper, we construct for the first time, the Witten genus and elliptic genera on noncompact manifolds with a proper cocompact action by an almost connected Lie group and prove vanishing and rigidity results that generalise known results for ...
Han, Fei, Mathai, Varghese
core   +1 more source

The sup-norm problem for PGL(4)

open access: yes, 2014
Let F be a Hecke-Maass cusp form for the group SL(4, Z) with Laplace eigenvalue lambda. Assume that F satisfies the Ramanujan conjecture at infinity (this is satisfied by almost all cusp forms).
Blomer, Valentin, Maga, Péter
core   +1 more source

Criteria for the Existence of Cuspidal Theta Representations

open access: yes, 2015
Theta representations appear globally as the residues of Eisenstein series on covers of groups; their unramified local constituents may be characterized as subquotients of certain principal series. A cuspidal theta representation is one which is equal to
Friedberg, Solomon, Ginzburg, David
core   +1 more source

Analytic properties of spherical cusp forms on GL(n)

open access: yes, 2020
Let $\phi$ be an $L^2$-normalized spherical vector in an everywhere unramified cuspidal automorphic representation of $\mathrm{PGL}_n$ over $\mathbb{Q}$ with Laplace eigenvalue $\lambda_{\phi}$.
Blomer, Valentin   +2 more
core  

Stable Automorphic Forms for Semisimple Groups

open access: yes, 2019
In this paper, we introduce the concept of stable automorphic forms for semisimple algebraic groups and use the stability of automorphic forms to study infinite dimensional arithmetic quotients.Comment: 27 ...
Yang, Jae-Hyun
core  

A continued fraction of order twelve

open access: yesOpen Mathematics, 2008
Mahadeva Naika M.   +2 more
doaj   +1 more source

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