A characterization of the Frobenius problem and its application to arithmetic progressions

Simple item page
dc.creatorTuenter, Hans J. H.
dc.date2006-06-24
dc.date.accessioned2026-07-07T07:17:38Z
dc.date.available2026-07-07T07:17:38Z
dc.descriptionIn the Frobenius problem we are given a set of coprime, positive integers $a_1, a_2,...,a_k$, and are interested in the set of positive numbers NR that have no representation by the linear form $\sum_i a_ix_i$ in nonnegative integers $x_1, x_2,...,x_k$. We give a functional relationship that completely characterizes the set NR, and apply it to the case when the numbers are in an arithmetic progression.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0606610
dc.identifierhttp://arxiv.org/abs/math/0606610
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114012
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.subject11D85, 11B25
dc.titleA characterization of the Frobenius problem and its application to arithmetic progressions
dc.typetext

Files

Collections

arXiv