Convergence abscissas for Dirichlet series with multiplicative coefficients

DOI10.1016/j.exmath.2015.10.005zbMath1359.30010arXiv1506.04546OpenAlexW3105167170MaRDI QIDQ346268

Ole Fredrik Brevig, Winston Heap

Publication date: 5 December 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04546

zbMATH Keywords

Dirichlet seriesmultiplicative coefficientsconvergence abscissas

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (1)

Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions

Cites Work

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• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• Some remarks on the convergence of the Dirichlet series of \(L\)-functions and related questions
• The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• On the absolute convergence of Dirichlet series
• On the Sidon constant for Dirichlet polynomials
• An inequality of Hardy-Littlewood type for Dirichlet polynomials
• Random factorizations and Riemann's hypothesis
• Hankel forms and sums of random variables
• Sur les séries dont les termes sont des variables éventuelles indépendantes

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