On the sign changes of coefficients of general Dirichlet series

DOI10.1090/S0002-9939-08-09296-4zbMath1148.11048OpenAlexW1978044391MaRDI QIDQ3522305

Wladimir de Azevedo Pribitkin

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09296-4

zbMATH Keywords

Mellin transformgeneral Dirichlet seriesoscillatory sequence

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (11)

A converse theorem for quasimodular forms ⋮ General $\Omega $-theorems for coefficients of $L$-functions ⋮ A note on Fourier-Jacobi coefficients of Siegel modular forms ⋮ Simultaneous non-vanishing and sign changes of Fourier coefficients of modular forms ⋮ On Dirichlet series attached to quasimodular forms ⋮ On the oscillatory behavior of certain arithmetic functions associated with automorphic forms ⋮ On an Oscillatory Result for the Coefficients of General Dirichlet Series ⋮ Sign changes of coefficients and sums of coefficients of \(L\)-functions ⋮ A generalization of Knopp's observation on Ramanujan's tau-function ⋮ On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms ⋮ Sign changes of coefficients of certain Dirichlet series

Cites Work

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• Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
• On the signs of Fourier coefficients of cusp forms
• Sign changes of Hecke eigenvalues of Siegel cusp forms of genus two

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