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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)

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

A DECOMPOSITION OF THE FOURIER-JACOBI COEFFICIENTS OF KLINGEN EISENSTEIN SERIES (Automorphic Forms and Related Topics)
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An explicit formula for the Fourier coefficients of Siegel-Eisenstein series(Researches on automorphic forms and zeta functions)

An explicit formula for the Fourier coefficients of Siegel-Eisenstein series(Researches on automorphic forms and zeta functions)
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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)

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)
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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)

On 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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On Fourier Coefficients of Automorphic Forms of GL(n)

International Mathematics Research Notices, 2012
It is a well-known theorem, due to J. Shalika and I. Piatetski-Shapiro, independently, that any non-zero cuspidal automorphic form on GLn(A) is generic, i.e. has a non-zero WhittakerFourier coefficient. Its proof follows from the Fourier expansion of the cuspidal automorphic form in terms of its Whittaker-Fourier coefficients.
Dihua Jiang, Baiying Liu
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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.
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Fourier coefficients of cusp forms and automorphic f-functions

Journal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sums of k-th powers and the Whittaker–Fourier coefficients of automorphic forms

The 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.
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Averages Involving Fourier Coefficients of Non-Analytic Automorphic Forms

Canadian Mathematical Bulletin, 1970
Let f(τ) be a complex valued function, defined and analytic in the upper half of the complex τ plane (τ=x+iy, y > 0), such that f(τ+λ) = f(τ) where λ is real and f(-1/τ) = γ(-iτ)k f(τ), k being a complex number.
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