On the distribution of algebraic numbers with prescribed factorization properties

DOI10.4064/aa116-2-4zbMath1136.11064OpenAlexW1970091773MaRDI QIDQ4677354

Maciej Radziejewski

Publication date: 20 May 2005

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa116-2-4

zbMATH Keywords

oscillationsMellin transformsSelberg classerror termsfunctional independencefactorizations of distinct lengthsHilbert semigroup

Mathematics Subject Classification ID

Units and factorization (11R27) Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45) Zeta functions and (L)-functions of number fields (11R42)

Related Items (8)

Unnamed Item ⋮ Weakly half-factorial sets in finite abelian groups ⋮ Algebraic independence of logarithmic singularities of some complex functions ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions.

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