Results 101 to 110 of about 167,541,873 (127)

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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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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Automorphic forms with degenerate Fourier coefficients

American Journal of Mathematics, 1997
The main theme of this paper is that singular automorphic forms on classical groups are given by theta series liftings. We establish several inequalities relating the automorphic multiplicities of a given representation and that of its abstract theta lift.
Li, Jian Shu
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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 Automorphic Forms

Lecture Notes in Mathematics, 1981
Roelof W Bruggeman
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ON FOURIER COEFFICIENTS OF AUTOMORPHIC FORMS

Number Theory: Arithmetic in Shangri-La, 2013
Guangshi Lü
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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.
Alexei B Venkov
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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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