Results 31 to 40 of about 11,043,146 (220)
Analytic Twists of GL3 × GL2 Automorphic Forms
International mathematics research notices, 2019 Let $\pi $ be a Hecke–Maass cusp form for $\textrm{SL}_3(\mathbb{Z})$ with normalized Hecke eigenvalues $\lambda _{\pi }(n,r)$. Let $f$ be a holomorphic or Maass cusp form for $\textrm{SL}_2(\mathbb{Z})$ with normalized Hecke eigenvalues $\lambda _f(n)$
Yongxiao Lin, Qingfeng Sun
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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
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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
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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
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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
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Quantum unique ergodicity for half-integral weight automorphic forms [PDF]
Duke mathematical journal, 2016 We investigate the analogue of the Quantum Unique Ergodicity (QUE) conjecture for half-integral weight automorphic forms. Assuming the Generalized Riemann Hypothesis (GRH) we establish QUE for both half-integral weight holomorphic Hecke cusp forms for ...
S. Lester, Maksym Radziwill
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Perturbation theory from automorphic forms [PDF]
Journal of High Energy Physics, 2010 Typos fixed and other minor corrections.
Lambert, Neil, West, Peter
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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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Smooth cuspidal automorphic forms and integrable discrete series [PDF]
Mathematische Zeitschrift, 2016 In this paper we construct smooth cuspidal automorphic forms related to integrable discrete series of a connected semisimple Lie group with finite center for classical and adelic situation as an application of the theory of Schwartz spaces for ...
G. Muić
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On an invariant bilinear form on the space of automorphic forms via asymptotics [PDF]
Duke mathematical journal, 2016 This article concerns the study of a new invariant bilinear form $\mathcal B$ on the space of automorphic forms of a split reductive group $G$ over a function field.
Jonathan Wang
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