Refined upper bounds for the linear Diophantine problem of Frobenius

DOI10.1016/S0196-8858(03)00055-1zbMath1055.11021arXivmath/0305420OpenAlexW2025638185WikidataQ59448326 ScholiaQ59448326MaRDI QIDQ1883402

Shelemyahu Zacks, Matthias Beck

Publication date: 12 October 2004

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305420

zbMATH Keywords

upper boundreciprocity lawsDedekind-Rademacher sumslinear Diophantine problem of Frobenius

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Linear Diophantine equations (11D04)

Related Items (1)

Nilpotent groups are round.

Cites Work

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• On the linear diophantine problem of Frobenius
• The Frobenius problem, rational polytopes, and Fourier-Dedekind sums
• A Linear Diophantine Problem
• Bounds for a Linear Diophantine Problem of Frobenius
• On the linear diophantine problem of Frobenius.
• A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
• Some Experimental Results on the Frobenius Problem
• Some remarks on certain generalized Dedekind sums
• On a linear diophantine problem of Frobenius

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