Digit systems over commutative rings

dc.contributorUniv Nat Resources & Appl Life Sci
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Leoben
dc.creatorScheicher, Klaus
dc.creatorSurer, Paul [UNESP]
dc.creatorThuswaldner, Joerg M.
dc.creatorVan de Woestijne, Christiaan E.
dc.date2015-03-18T15:55:34Z
dc.date2015-03-18T15:55:34Z
dc.date2014-09-01
dc.date.accessioned2023-09-12T03:08:23Z
dc.date.available2023-09-12T03:08:23Z
dc.identifierhttp://dx.doi.org/10.1142/S1793042114500389
dc.identifierInternational Journal Of Number Theory. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 6, p. 1459-1483, 2014.
dc.identifier1793-0421
dc.identifierhttp://hdl.handle.net/11449/117220
dc.identifier10.1142/S1793042114500389
dc.identifierWOS:000341012700008
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8766705
dc.descriptionLet epsilon be a commutative ring with identity and P is an element of epsilon[x] be a polynomial. In the present paper we consider digit representations in the residue class ring epsilon[x]/(P). In particular, we are interested in the question whether each A is an element of epsilon[x]/(P) can be represented modulo P in the form e(0)+ e(1)x + ... + e(h)x(h), where the e(i) is an element of epsilon[x]/(P) are taken from a fixed finite set of digits. This general concept generalizes both canonical number systems and digit systems over finite fields. Due to the fact that we do not assume that 0 is an element of the digit set and that P need not be monic, several new phenomena occur in this context.
dc.descriptionAustrian Science Foundation (FWF)
dc.descriptionnational research network "Analytic combinatorics and probabilistic number theory"
dc.descriptionUniv Nat Resources & Appl Life Sci, Inst Math, A-1180 Vienna, Austria
dc.descriptionUniv Estadual Paulista UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionUniv Leoben, Chair Math & Stat, A-8700 Leoben, Austria
dc.descriptionUniv Estadual Paulista UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionAustrian Science Foundation (FWF)S9606
dc.descriptionAustrian Science Foundation (FWF)S9610
dc.descriptionnational research network Analytic combinatorics and probabilistic number theoryFWF-S96
dc.format1459-1483
dc.languageeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relationInternational Journal Of Number Theory
dc.relation0.536
dc.relation0,865
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectCanonical number systems
dc.subjectshift radix systems
dc.subjectdigit systems
dc.titleDigit systems over commutative rings
dc.typeArtigo


Este ítem pertenece a la siguiente institución