Fourier coefficients of symmetric power L-functions
Copyright policy )Fourier coefficients of symmetric power L-functions
Let f be a Hecke eigencusp form of even integral weight k or Maass cusp form for the full modular group SL 2 (Z). Denote by λ sym m f (n) the nth normalized coefficient of the Dirichlet expansion of the mth symmetric power L-function associated to f. In this paper, we establish some bounds for nx λ sym m f (n), nx λ f (n m), which improve the corresponding results of Lau & Lü [9].
- French National Centre for Scientific Research France
- University of Lorraine France
- Centre national de la recherche scientifique France
- Institut Élie Cartan de Lorraine France
- Henan University China (People's Republic of)
Fourier coefficients of automorphic forms, automorphic \(L\)-function, Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Holomorphic modular forms of integral weight, cusp form, Rankin-Selberg \(L\)-function, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Fourier coefficients of automorphic forms, automorphic \(L\)-function, Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Holomorphic modular forms of integral weight, cusp form, Rankin-Selberg \(L\)-function, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
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