Hankel transform, Langlands functoriality and functional equation of automorphic L-functions
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DOI: 10.1007/s11537-019-1650-8
Abstract: This is a survey on recent works of Langlands’s work on functoriality conjectures and related works including the works of Braverman and Kazhdan on the functional equation of automorphic L -functions. Efforts have been made… read more here.
Keywords: automorphic functions; transform langlands; functional equation; hankel transform ... See more keywords
Higher integral moments of automorphic L-functions in short intervals
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DOI: 10.1016/j.jnt.2016.07.004
Abstract: We consider the higher integral moments for automorphic L-functions in short intervals and give a proof for the conjecture of Conrey et al. under Generalized Riemann Hypothesis for automorphic L-function. read more here.
Keywords: functions short; integral moments; automorphic functions; moments automorphic ... See more keywords
True Bargmann transforms for rank one automorphic functions associated with Landau levels
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DOI: 10.1063/1.4990063
Abstract: For a given discrete subgroup Γ of (C,+) and given real number ν>0, we study the spectral properties of the magnetic Laplacian operator Δν acting on the Hilbert space LΓ,χ2,ν(C) of (L2,Γ)-automorphic functions (see below… read more here.
Keywords: bargmann transforms; true bargmann; automorphic functions; rank one ... See more keywords