Results 111 to 120 of about 260 (137)

A DECOMPOSITION OF THE FOURIER-JACOBI COEFFICIENTS OF KLINGEN EISENSTEIN SERIES (Automorphic Forms and Related Topics)

open access: yesA DECOMPOSITION OF THE FOURIER-JACOBI COEFFICIENTS OF KLINGEN EISENSTEIN SERIES (Automorphic Forms and Related Topics)
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Asymptotic relations between eigenvalues and Fourier coefficients(Researches on automorphic forms and zeta functions)

open access: yesAsymptotic relations between eigenvalues and Fourier coefficients(Researches on automorphic forms and zeta functions)
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An explicit formula for the Fourier coefficients of Siegel-Eisenstein series(Researches on automorphic forms and zeta functions)

open access: yesAn explicit formula for the Fourier coefficients of Siegel-Eisenstein series(Researches on automorphic forms and zeta functions)
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ON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF INTEGRAL WEIGHT OVER ALGEBRAIC NUMBER FIELDS (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)

open access: yesON THE FOURIER COEFFICIENTS OF HILBERT MODULAR FORMS OF HALF INTEGRAL WEIGHT OVER ALGEBRAIC NUMBER FIELDS (Automorphic forms, automorphic representations and automorphic $L$-functions over algebraic groups)
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GROWTH OF PETERSSON INNER PRODUCTS OF FOURIER-JACOBI COEFFICIENTS OF SIEGEL CUSP FORMS (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)

open access: yesGROWTH OF PETERSSON INNER PRODUCTS OF FOURIER-JACOBI COEFFICIENTS OF SIEGEL CUSP FORMS (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)
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On the Fourier coefficients of Siegel Eisenstein series and genus theta series (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)

open access: yesOn the Fourier coefficients of Siegel Eisenstein series and genus theta series (Analytic, geometric and $p$-adic aspects of automorphic forms and $L$-functions)
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Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms

Ramanujan Journal, 2021
The author begins this paper by briefly reviewing the literature on shifted convolution sums. Letting \(\tau_2(n) := \sum_{d_1 d_2 = n} 1\) is the number of divisors of \(n\), Luo reminds the reader that \[ \sum_{n \leq x} \tau_2(n) \tau_2(n+1) \sim \frac{6}{\pi^2} x (\log x)^2 \] as well as some generalizations and strengthenings of this result.
Wenzhi Luo
exaly   +3 more sources

On Fourier coefficients of automorphic forms of symplectic groups

Manuscripta Mathematica, 2003
For a number of reasons it is interesting to determine Fourier coefficients of automorphic forms. The best known Fourier coefficient is the so-called Whittaker Fourier coefficient. While every cuspidal representation of \(\text{GL}_n(\mathbb A)\) has such a Fourier coefficient, for other classical groups this is not true. In the paper under the review,
Ginzburg, D., Rallis, S., Soudry, D.
exaly   +2 more sources

ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS

Number Theory: Arithmetic in Shangri-La, 2013
Guangshi Lu
exaly   +2 more sources

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.
Alexei B Venkov, Venkov Alexei B
exaly   +2 more sources

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