Results 11 to 20 of about 230 (160)

THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2015
We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups
TYLER LAWSON
doaj   +1 more source

AUTOMORPHIC FORMS ON A SEMISIMPLE LIE GROUP. [PDF]

Proc Natl Acad Sci U S A, 1959
Harish-Chandra.
europepmc   +5 more sources

Mixed automorphic forms and differential equations

International Journal of Mathematics and Mathematical Sciences, 1990
We construct mixed automorphic forms associated to a certain class of nonhomogeneous linear ordinary differential equations. We also establish an isomorphism between the space of mixed automorphic forms of the second kind modulo exact forms nd a certain ...
Min Ho Lee
doaj   +1 more source

k-Hypermonogenic automorphic forms

Journal of Number Theory, 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. In the first part we establish an explicit relation between $k$-hypermonogenic automorphic forms and Maaß wave forms.
Constales, D., Kraußhar, R.S., Ryan, John   +2 more
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Special geometry and automorphic forms [PDF]

Nuclear Physics B, 1997
21 pages, plain LaTeX.
Berglund, Per, Henningson, Måns, Wyllard, Niclas   +2 more
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Mixed Jacobi-like forms of several variables

International Journal of Mathematics and Mathematical Sciences, 2006
We study mixed Jacobi-like forms of several variables associated to equivariant maps of the Poincaré upper half-plane in connection with usual Jacobi-like forms, Hilbert modular forms, and mixed automorphic forms.
Min Ho Lee
doaj   +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
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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

ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR $U(n,1)$

Forum of Mathematics, Sigma, 2019
By assuming the endoscopic classification of automorphic representations on inner forms of unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we bound the growth of cohomology in congruence towers of locally ...
SIMON MARSHALL, SUG WOO SHIN
doaj   +1 more source

Two string theory flavours of generalised Eisenstein series

Journal of High Energy Physics, 2023
Generalised Eisenstein series are non-holomorphic modular invariant functions of a complex variable, τ, subject to a particular inhomogeneous Laplace eigenvalue equation on the hyperbolic upper-half τ-plane.
Daniele Dorigoni, Rudolfs Treilis
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