Results 41 to 50 of about 167,541,873 (127)
The Theta Correspondence and Periods of Automorphic Forms [PDF]
, 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
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Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
wiley +1 more source
Fourier coefficients for automorphic forms on quasisplit classical groups
, 2014 To James Cogdell, on the occasion of his 60th ...
Jiang, Dihua, Liu, Baiying
openaire +2 more sources
Symplectic Automorphic Forms and Kloosterman Sums [PDF]
, 2021 In this thesis, we study automorphic forms on the rank 2 symplectic group Sp(4), in the context of analytic number theory. While much of the abstract theory is described in Langlands’ theory, one needs more explicit formulae for applications in analytic ...
Man, Siu Hang
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L${L}$‐functions of Kloosterman sheaves
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley +1 more source
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
Automorphic forms and string theory: Small automorphic representations and non-perturbative effects [PDF]
, 2017 This compilation thesis stems from a project with the purpose of determining non-perturbative contributions to scattering amplitudes in string theory carrying important information about instantons, black hole quantum states and M-theory.
Gustafsson, Henrik +1 more
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An Algorithm for the explicit evaluation of GL(n, R) Kolsterman sums [PDF]
, 2009 An algorithm for the explicit evaluation of Kloosterman sums for GL(n, R) for n ≥2 and an implementation in the Mathematics package GL(n) pack are ...
Broughan, Kevin A.
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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
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. +5 more
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