Analytic continuation of random Dirichlet series

DOI10.1134/S0081543813070043zbMath1314.11056MaRDI QIDQ483181

Kohji Matsumoto, Gautami Bhowmik

Publication date: 16 December 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

probability spacevon Mangoldt functionRademacher sequencesabscissa of convergencerandom Dirichlet series

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Probability theory on algebraic and topological structures (60B99) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

Natural boundary of the random power series ⋮ Random Dirichlet series arising from records

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On domains of convergence of multiple random Dirichlet series
• Meromorphic continuation of the Goldbach generating function
• On the supremum of some random Dirichlet polynomials
• An additive problem of prime numbers. II
• On relations between the abscissa of convergence and the abscissa of absolute convergence of random Dirichlet series
• Natural boundaries of Dirichlet series
• Analytic Continuation of some zeta functions
• An additive problem of prime numbers
• Natural boundary of random Dirichlet series
• Propriétés Presque Sûres et Quasi-Sûres Des Séries de Dirichletet et des Produits D'Euler
• Sur les séries aléatoires de Dirichlet
• CONVOLUTIONS OF THE VON MANGOLDT FUNCTION AND RELATED DIRICHLET SERIES
• On Dirichlet Series Involving Random Coefficients

This page was built for publication: Analytic continuation of random Dirichlet series