Results 71 to 80 of about 112 (98)

Asymptotic relations between eigenvalues and Fourier coefficients(Researches on automorphic forms and zeta functions)

Asymptotic 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)

An 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)

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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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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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
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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.
Guangshi Lu
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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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Exponential sums formed with the von Mangoldt function and Fourier coefficients of $${ GL}(m)$$ G L ( m ) automorphic forms

Monatshefte Fur Mathematik, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yujiao Jiang, Guangshi Lu, Jiang Yujiao   +2 more
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ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS

Number Theory: Arithmetic in Shangri-La, 2013
Guangshi Lu
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Fourier Coefficients of Automorphic Forms

Lecture Notes in Mathematics, 1981
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