GENERALIZATION OF THE EFFECTIVE WIENER–IKEHARA THEOREM

DOI10.1142/S1793042113500760zbMath1335.40009arXiv1210.2284OpenAlexW2118577249MaRDI QIDQ2870233

Anne De Roton, Szilárd Gy. Révész

Publication date: 17 January 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2284

zbMATH Keywords

Laplace-Stieltjes transformTauberian theoremsWiener-Ikehara theoremMellin-Stieltjes transformslowly decreasing functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Tauberian theorems (40E05)

Related Items (6)

On Ikehara type Tauberian theorems with \(O(x^\gamma )\) remainders ⋮ A Tauberian theorem of Wiener-Ikehara type and its applications ⋮ An Ikehara-type theorem for functions convergent to zero ⋮ On the absence of remainders in the Wiener-Ikehara and Ingham-Karamata theorems: A constructive approach ⋮ Note on the absence of remainders in the Wiener-Ikehara theorem ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior

Cites Work

• Tauberian Theory
• Non-vanishing of \(L\)-functions and applications

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