Multiplicative generalised polynomial sequences

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Titel: Multiplicative generalised polynomial sequences
Autoren: Jakub Konieczny
Quelle: Journal of Number Theory. 277:147-164
Publication Status: Preprint
Verlagsinformationen: Elsevier BV, 2025.
Publikationsjahr: 2025
Schlagwörter: Mathematics - Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), Primary: 11J54. Secondary: 11N64, 37A44
Beschreibung: We fully classify completely multiplicative sequences which are given by generalised polynomial formulae, and obtain a similar result for (not necessarily completely) multiplicative sequences under the additional restriction that the sequence is not zero almost everywhere.
11 pages, comments welcome
Publikationsart: Article
Sprache: English
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2025.03.007
DOI: 10.48550/arxiv.2403.17590
Zugangs-URL: http://arxiv.org/abs/2403.17590
Rights: CC BY
arXiv Non-Exclusive Distribution
Dokumentencode: edsair.doi.dedup.....176adfbe4879f2c8db569d63cf18bc88
Datenbank: OpenAIRE
Beschreibung
Abstract:We fully classify completely multiplicative sequences which are given by generalised polynomial formulae, and obtain a similar result for (not necessarily completely) multiplicative sequences under the additional restriction that the sequence is not zero almost everywhere.<br />11 pages, comments welcome
ISSN:0022314X
DOI:10.1016/j.jnt.2025.03.007