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Abelian and Tauberian results on Dirichlet series

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Publication:817156
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DOI10.1007/BF03322893zbMath1087.11056MaRDI QIDQ817156

N. E. Zubov

Publication date: 7 March 2006

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

Dirichlet seriesTauberian theoremsarithmetic functions


Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Arithmetic functions; related numbers; inversion formulas (11A25) Tauberian theorems (11M45)


Related Items (1)

Distribution of rational points of bounded height on equivariant compactifications of \(\mathrm{PGL}_2\). I




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Asymptotic expressions for \(\sum n^ a f(n)\log^ r n\)
  • The power series coefficients of functions defined by Dirichlet series
  • Tauberian Theory
  • Some Abelian results for Dirichlet series
  • An Application of Stieltjes Integration to the Power Series Coefficients of the Riemann Zeta Function
  • Généralisation du théorème de Ikehara
  • The Power Series Coefficients of ξ(s)




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