Results 11 to 20 of about 244 (36)

Multiplicity one for certain paramodular forms of genus two

, 2017
We show that certain paramodular cuspidal automorphic irreducible representations of $\mathrm{GSp}(4,\mathbb{A}_\mathbb{Q})$, which are not CAP, are globally generic.
Rösner, Mirko, Weissauer, Rainer
core   +1 more source

Bounds for eigenforms on arithmetic hyperbolic 3-manifolds [PDF]

, 2015
On a family of arithmetic hyperbolic 3-manifolds of squarefree level, we prove an upper bound for the sup-norm of Hecke-Maass cusp forms, with a power saving over the local geometric bound simultaneously in the Laplacian eigenvalue and the volume.
Blomer, Valentin, Harcos, Gergely, Milićević, Djordje   +2 more
core   +2 more sources

The Ramanujan and Sato–Tate Conjectures for Bianchi modular forms

Forum of Mathematics, Pi
We prove the Ramanujan and Sato–Tate conjectures for Bianchi modular forms of weight at least $2$ . More generally, we prove these conjectures for all regular algebraic cuspidal automorphic representations of $\operatorname {\mathrm {GL}}_2 ...
George Boxer, Frank Calegari, Toby Gee, James Newton, Jack A. Thorne   +4 more
doaj   +1 more source

Doubling constructions and tensor product L-functions: coverings of the symplectic group

Forum of Mathematics, Sigma
In this work, we develop an integral representation for the partial L-function of a pair $\pi \times \tau $ of genuine irreducible cuspidal automorphic representations, $\pi $ of the m-fold covering of Matsumoto of the symplectic group $
Eyal Kaplan
doaj   +1 more source

Two applications of the curve lemma for orthogonal groups

, 2003
We show (under some hypothesis in small dimensions) that the analytic degree of the divisor of a modular form on the orthogonal group O(2,p) is determined by its weight. Moreover, we prove that certain integrals, occurring in Arakelov intersection theory,
Bruinier, Jan H.
core   +1 more source

Rigid meromorphic cocycles for orthogonal groups

Forum of Mathematics, Sigma
Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann, Henri Darmon, Michael Lipnowski   +2 more
doaj   +1 more source

Borcherds Products for U(1,1)

, 2013
The Borcherds lift for indefinite unitary groups, previously constructed by the author, is examined here in greater detail for the special case of the group U(1,1).
Hofmann, Eric
core   +1 more source

On the Eisenstein cohomology of odd orthogonal groups

, 2011
The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal ...
Borel, Borel, Cogdell, Deligne, Franke, Franke, Gerald Gotsbacher, Ginzburg, Grbac, Grobner, Harald Grobner, Jiang, Kazdhan, Kim, Kostant, Schwermer, Soudry, Speh, Tadic   +18 more
core   +1 more source

On p-adic properties of Siegel modular forms

, 2013
We show that Siegel modular forms of level \Gamma_0(p^m) are p-adic modular forms. Moreover we show that derivatives of such Siegel modular forms are p-adic. Parts of our results are also valid for vector-valued modular forms.
Boecherer, Siegfried, Nagaoka, Shoyu
core   +1 more source

Witten Genus and Elliptic genera for proper actions

, 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