An addition theorem and its arithmetical application

DOI10.1006/jnth.2000.2521zbMath1019.11002OpenAlexW2038825478MaRDI QIDQ1590278

Alfred Geroldinger, Gregory A. Freiman

Publication date: 1 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2521

zbMATH Keywords

almost arithmetical multiprogressionfinite sumsetlengths of factorizations of algebraic integers

Mathematics Subject Classification ID

Units and factorization (11R27) Additive bases, including sumsets (11B13) Arithmetic progressions (11B25)

Related Items (8)

Full elasticity in atomic monoids and integral domains. ⋮ Weakly half-factorial sets in finite abelian groups ⋮ On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group. ⋮ Towards a more precise understanding of sets of lengths ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ On the arithmetic of Krull monoids with finite Davenport constant. ⋮ A realization theorem for sets of lengths ⋮ Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group

Cites Work

• Unnamed Item
• On non-unique factorizations into irreducible elements
• Chains of factorizations and sets of lengths
• Elasticity of factorizations in atomic monoids and integral domains
• Factorization in Integral Domains, IV
• A structure theorem for sets of lengths

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