The ring of analytic Dirichlet series is factorial

DOI10.1016/S1631-073X(03)00037-2zbMath1068.11056OpenAlexW2043413781MaRDI QIDQ1871470

Augustin Mouze, Frederic Bayart

Publication date: 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00037-2

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (1)

Division and composition theorems in the ring of analytic Dirichlet series.

Cites Work

• The ring of number-theoretic functions
• The translation \(\frac 12\) in the theory of Dirichlet series
• Division dans l'anneau des séries formelles à croissance contrôlée. Applications
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