6533b7d0fe1ef96bd125ac06

RESEARCH PRODUCT

On a linear diophantine problem of Frobenius

G.a. ShadiaG.r. HofmeisterA.m. Ibrahim

subject

Discrete mathematicsBasis (linear algebra)Diophantine equationElectrical and Electronic EngineeringSafety Risk Reliability and QualityCondensed Matter PhysicsAtomic and Molecular Physics and OpticsSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsInteger (computer science)Mathematics

description

Abstract In this paper, linear diophantine problem of Frobenius is discussed. A theorem concerning the largest integer g m (a1,a2) and the smallest integer G m (a1,a2) with m different representations with a1,a2 as basis is proved.

https://doi.org/10.1016/0026-2714(93)90044-y