Results 1 to 10 of about 6,375 (73)
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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Subconvexity bounds for triple L-functions and representation theory [PDF]
, 2009 We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function.
Bernstein, Joseph, Reznikov, Andre
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A characterization of planar mixed automorphic forms [PDF]
, 2010 We characterize the space of the so-called planar mixed automorphic forms of type $(\nu,\mu)$ with respect to an equivariant pair $(\rho,\tau)$ as the image, by an appropriate transform, of the usual (Landau) automorphic forms involving special ...
Ghanmi, Allal
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Pairings of automorphic distributions [PDF]
, 2011 We present a pairing of automorphic distributions that applies in situations where a Lie group acts with an open orbit on a product of generalized flag varieties.
Miller, Stephen D., Schmid, Wilfried
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Families of L-functions and their Symmetry [PDF]
, 2015 In [90] the first-named author gave a working definition of a family of automorphic L-functions. Since then there have been a number of works [33], [107], [67] [47], [66] and especially [98] by the second and third-named authors which make it possible to
Sarnak, Peter +2 more
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Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors [PDF]
, 2014 Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac-Moody groups. In particular, we analyse the Eisenstein series on $E_9(R)$, $E_{10}(R)$ and $E_{11}(R)
Fleig, Philipp +2 more
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A proof of the refined Gan--Gross--Prasad conjecture for non-endoscopic Yoshida lifts [PDF]
, 2016 We prove a precise formula relating the Bessel period of certain automorphic forms on ${\rm GSp}_{4}(\mathbb{A}_{F})$ to a central $L$-value. This is a special case of the refined Gan--Gross--Prasad conjecture for the groups $({\rm SO}_{5},{\rm SO}_{2})$
Corbett, Andrew
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Differential operators, pullbacks, and families of automorphic forms [PDF]
, 2015 This paper has two main parts. First, we construct certain differential operators, which generalize operators studied by G. Shimura. Then, as an application of some of these differential operators, we construct certain p-adic families of automorphic ...
Eischen, Ellen
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On Greenberg's $L$-invariant of the symmetric sixth power of an ordinary cusp form
, 2010 We derive a formula for Greenberg's $L$-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight $\geq4$, under some technical assumptions.
Benois +11 more
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The Highly Oscillatory Behavior of Automorphic Distributions for SL(2)
, 2004 Automorphic distributions for SL(2) arise as boundary values of modular forms and, in a more subtle manner, from Maass forms. In the case of modular forms of weight one or of Maass forms, the automorphic distributions have continuous first ...
A. Zygmund +10 more
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