Results 41 to 50 of about 260 (137)

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

Fourier coefficients of automorphic forms and arthur classification

, 2013
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor:Prof. Dr. Dihua Jiang. 1 computer file (PDF); ii, 120 pages.Fourier coefficients play important roles in the study of both classical modular forms and automorphic forms ...
Liu, Baiying
core  

Small automorphic representations and degenerate Whittaker vectors

, 2016
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show that for automorphic representations of small Gelfand-Kirillov dimension the Fourier coefficients are completely determined by certain degenerate ...
Kleinschmidt, Axel, Persson, D., Kleinschmidt, Axel,, Gustafsson, H., Kleinschmidt, A., Gustafsson, Henrik, Gustafsson, Henrik H.P.A., Gustafsson, Henrik P. A., Persson, Daniel, Persson, Daniel,, Gustafsson, Henrik,   +10 more
core   +1 more source

Automorphic forms constructed from Whittaker vectors

, 1989
Let G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite volume. If P is a percuspidal parabolic of G with unipotent radical N and if χ is a non-trivial unitary character of N such that χ(Γ ∩ N) = 1 then a meromorphic ...
Miatello, R, Wallach, N.R, R Miatello, N.R Wallach   +3 more
core   +1 more source

Automorphic forms in string theory : from moonshine to wall crossing [PDF]

, 2020
Summary: This thesis is devoted to the study of applications of automorphic forms ((mock) modular forms and (mock) Jacobi forms to moonshine phenomena, and to BPS wall crossing of in N = 4, d = 4 string theory.
Mamandur Kidambi, Abhiram
core   +1 more source

Automorphic Forms and Sums of Squares over Function Fields

, 1999
We develop some of the theory of automorphic forms in the function field setting. As an application, we find formulas for the number of ways a polynomial over a finite field can be written as a sum of k squares, k⩾2.
Walling, Lynne H., Hoffstein, Jeffrey, Merrill, Kathy D.   +2 more
core   +1 more source

EICHLER COHOMOLOGY THEOREM FOR GENERALIZED MODULAR FORMS

, 2011
We show starting with relations between Fourier coefficients of weakly parabolic generalized modular forms of negative weight that we can construct automorphic integrals for large integer weights.
Raji W., WISSAM RAJI
core   +1 more source

On the convolution sum of Fourier coefficients of automorphic forms

The Ramanujan Journal
Abstract Let $$\lambda _{\pi }(1,n)$$ λ π ( 1 , n )
openaire   +1 more source

The Theta Correspondence and Periods of Automorphic Forms

, 2014
The study of periods of automorphic forms using the theta correspondence and the Weil representation was initiated by Waldspurger and his work relating Fourier coefficients of modular forms of half-integral weight, periods over tori of modular forms of ...
Walls, Patrick
core   +1 more source

On Fourier coefficients of modular forms of half-integral weight (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions) [PDF]

, 2021
In my talk, I reported about recent joint work with S. Gun in which a new proof was given that for any non-zero cusp form of half-integral weight in the plus space of level 4 (not necessarily a Hecke eigenform) there exist infinitely many fundamental ...
Kohnen, Winfried
core