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Construction of an ordinary Dirichlet series with convergence beyond the Bohr strip

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Publication:387417
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zbMath1287.30002arXiv1202.5703MaRDI QIDQ387417

Brian N. Maurizi

Publication date: 23 December 2013

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5703


zbMATH Keywords

Dirichlet seriesBohr stripconditional convergence


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

Old and recent results in the analytic theory of Dirichlet series: a survey



Cites Work

  • The asymptotic growth of the constants in the Bohnenblust-Hille inequality is optimal
  • The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
  • A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
  • H. Bohr's vision of ordinary Dirichlet series; old and new results
  • On the absolute convergence of Dirichlet series
  • Some remarks on the algebra of bounded Dirichlet series
  • On Dirichlet Series Involving Random Coefficients
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