Results 11 to 20 of about 16,023 (137)

Special Geometry and Automorphic Forms [PDF]

, 1997
We consider special geometry of the vector multiplet moduli space in compactifications of the heterotic string on $K3 \times T^2$ or the type IIA string on $K3$-fibered Calabi-Yau threefolds.
Aldazabal, Antoniadis, Antoniadis, Aspinwall, Aspinwall, Aspinwall, Aspinwall, Bagger, Borcherds, Candelas, Ceresole, Cremmer, de Wit, de Wit, de Wit, Dine, Dine, Dine, Duff, Ferrara, Ferrara, Giveon, Greene, Harvey, Henningson, Henningson, Hosono, Hosono, Igusa, Igusa, Igusa, Kachru, Kachru, Kaplunovsky, Klemm, Mans Henningson, Morrison, Morrison, Narain, Narain, Niclas Wyllard, Oguiso, Per Berglund, Seiberg, Seiberg, Seiberg, Strominger, Strominger, Witten, Witten, Yau   +50 more
core   +4 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

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

A General Framework of Automorphic Inflation [PDF]

, 2016
Automorphic inflation is an application of the framework of automorphic scalar field theory, based on the theory of automorphic forms and representations.
Schimmrigk, Rolf
core   +2 more sources

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

Supergravity divergences, supersymmetry and automorphic forms [PDF]

, 2015
We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action.
Bossard, Guillaume, Kleinschmidt, Axel
core   +4 more sources

Companion forms for unitary and symplectic groups [PDF]

, 2010
We prove a companion forms theorem for ordinary n-dimensional automorphic Galois representations, by use of automorphy lifting theorems developed by the second author, and a technique for deducing companion forms theorems due to the first author.
Gee, Toby, Geraghty, David
core   +2 more sources

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
doaj   +1 more source