Results 11 to 20 of about 2,560,834 (159)

A Characterization of Planar Mixed Automorphic Forms [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
We characterize the functional space of the planar mixed automorphic forms with respect to an equivariant pair and given lattice as the image of the Landau automorphic forms (involving special multiplier) by an appropriate isomorphic transform.
Allal Ghanmi
doaj   +2 more sources

Higher-Dimensional Automorphic Lie Algebras. [PDF]

Found Comut Math, 2017
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Knibbeler V, Lombardo S, Sanders JA.
europepmc   +3 more sources

Explicit calculations of automorphic forms for definite unitary groups [PDF]

, 2008
I give an algorithm for computing the full space of automorphic forms for definite unitary groups over Q, and apply this to calculate the automorphic forms of level G(^Z) and various small weights for an example of a rank 3 unitary group.
David Loeffler, Loeffler, David
core   +1 more source

Automorphic Lie algebras with dihedral symmetry [PDF]

, 2014
The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan, Knibbeler, Vincent, Knibbeler, V., Lombardo, Sara, Lombardo, S., Knibbeler, V.; id_orcid, J A Sanders, Lombardo, S.; id_orcid, A Sanders, J., S Lombardo, V Knibbeler   +10 more
core   +1 more source

Automorphic Forms and Arithmetic (hybrid meeting) [PDF]

, 2020
The workshop was at the interface of automorphic forms and analytic number theory. The aim was to disseminate, discuss and develop important new methods and results in the analytic theory of automorphic forms, in particular on higher rank groups, as ...

core   +1 more source

On the computation of local components of a newform [PDF]

, 2011
The problem. Let f be a cuspidal newform for Γ1(N) with weight k ≥ 2 and character ε. There are well-established methods for computing such forms using modular symbols; see [Ste07].
Weinstein, Jared, David Loeffler, Loeffler, David, Jared Weinstein   +3 more
core   +1 more source

Level-Raising for GSp(4) [PDF]

, 2006
This thesis provides congruences between unstable and stable automorphic forms for the symplectic similitude group $GSp(4)$. More precisely, we raise the level of certain CAP representations $Pi$ of Saito-Kurokawa type, arising from classical modular ...
Sorensen, Claus Mazanti
core   +1 more source

k-Hypermonogenic automorphic forms [PDF]

, 2007
In this paper we deal with monogenic and k-hypermonogenic automorphic forms on arithmetic subgroups of the Ahlfors–Vahlen group. Monogenic automorphic forms are exactly the 0-hypermonogenic automorphic forms.
Constales, D., RYAN, J, Kraußhar, R.S., Krausshar, Rolf, Constales, Denis, Ryan, John   +5 more
core   +1 more source

Raising the level for $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\text {GL}_{{n}}$

Forum of Mathematics, Sigma, 2014
We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
doaj   +1 more source

Extremal p-Adic L-Functions

Mathematics, 2021
In this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is amenable to generalizations to ...
Santiago Molina
doaj   +1 more source