Analytic monoids and factorization problems

DOI10.1007/s00233-016-9778-9zbMath1383.11111OpenAlexW2261437164WikidataQ59608381 ScholiaQ59608381MaRDI QIDQ2362263

Jerzy Kaczorowski

Publication date: 7 July 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-016-9778-9

zbMATH Keywords

Krull monoidsSelberg classfactorization problems

Mathematics Subject Classification ID

Units and factorization (11R27) Other Dirichlet series and zeta functions (11M41)

Related Items (3)

Density of type-dependent sets in Krull monoids with analytic structure ⋮ Factorization theory in commutative monoids ⋮ Which sets are sets of lengths in all numerical monoids?

Cites Work

• A survey of the Selberg class of \(L\)-functions. I
• On the distribution of irreducible algebraic integers
• Oscillatory properties of arithmetical functions. II
• A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
• Strong multiplicity one for the Selberg class
• Ω-estimates related to irreducible algebraic integers
• Some remarks on factorization in algebraic number fields
• Functional independence of the singularities of a class of Dirichlet series
• Almost periodicity of some error terms in prime number theory
• On the structure of the Selberg class, VI: non-linear twists
• The asymptotic behaviour of the counting functions of \varOmega -sets in arithmetical semigroups
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