Spectra of certain types of polynomials and tiling of integers with translates of finite sets

Simple item page
dc.creatorKonyagin, Sergei
dc.creatorLaba, Izabella
dc.date2002-09-16
dc.date.accessioned2026-07-07T04:50:55Z
dc.date.available2026-07-07T04:50:55Z
dc.descriptionWe consider two number-theoretic problems arising from Fuglede's spectral set conjecture: characterizing finite sets that tile integers, and finding polynomials with (0,1) coefficients whose roots have a certain multiplicative structure. We verify several special cases of the relevant conjectures; in particular, we find necessary and sufficient conditions for a set A to tile the integers if A is a direct sum of cyclic subsets.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0209204
dc.identifierhttp://arxiv.org/abs/math/0209204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64967
dc.subjectNumber Theory
dc.subject11A99
dc.titleSpectra of certain types of polynomials and tiling of integers with translates of finite sets
dc.typetext

Files

Collections

arXiv