Results 71 to 80 of about 6,196 (99)

Sobolev norms of automorphic functionals and Fourier coefficients of cusp forms

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1998
Let \(\mathbb{H}\) be the upper half-plane, and fix a discrete subgroup \(\Gamma\) of \(G= PSL(2,\mathbb{R})\) such that \(Y:= \Gamma\setminus\mathbb{H}\) is a compact Riemann surface. (The authors point out that the results of the paper under review also hold for cofinite groups \(\Gamma\).) Any eigenfunction \(\phi\) of the Laplacian on \(Y\) defines
Bernstein, Joseph, Reznikov, André
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Exponential sums with Fourier coefficients of automorphic forms

Mathematische Zeitschrift, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential sums formed with the von Mangoldt function and Fourier coefficients of $${ GL}(m)$$ G L ( m ) automorphic forms

Monatshefte für Mathematik, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yujiao Jiang, Guangshi Lü
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Exponential sums twisted by Fourier coefficients of automorphic cusp forms for SL(2, ℤ)

International Journal of Number Theory, 2014
Let f be a holomorphic cusp form of weight k for SL(2, ℤ) with Fourier coefficients λf(n). We study the sum ∑n>0λf(n)ϕ(n/X)e(αn), where [Formula: see text]. It is proved that the sum is rapidly decaying for α close to a rational number a/q where q2 < X1-ε.
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Harmonic Analysis of Automorphic Functions. Estimates for Fourier Coefficients of Parabolic Forms of Weight Zero

1990
The aims of this chapter are to assess known explicit formulas for the Fourier coefficients of automorphic functions playing an important role in spectral theory, and transferring certain classical estimates from the theory of analytic modular forms to non-analytic parabolic forms of weight zero.
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Onconephrology: The intersections between the kidney and cancer

Ca-A Cancer Journal for Clinicians, 2021
Mitchell Rosner, Kenar D Jhaveri, Mark A Perazella   +2 more
exaly  

Sums of Fourier coefficients of automorphic cusp forms

2022
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ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS

Number Theory: Arithmetic in Shangri-La, 2013
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ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS

Journal of the Institute of Mathematics of Jussieu, 2022
Soumya Das
exaly  

General asymptotic formula of Fourier coefficients of cusp forms over sum of two squares

Journal of Number Theory, 2022
exaly