On a class of Diophantine equations related to the numbers of cells in hyperplane arrangements

DOI10.1016/j.jnt.2008.10.013zbMath1215.11030OpenAlexW2154125790MaRDI QIDQ1024536

Ákos Pintér

Publication date: 17 June 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.013

zbMATH Keywords

binomial coefficientspolynomial Diophantine equationscells is hyperplane arrangements

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Higher degree equations; Fermat's equation (11D41)

Related Items

From the ``Brazuca ball to octahedral fullerenes: their construction and classification ⋮ Balancing with binomial coefficients

Uses Software

• Magma
• Maple

Cites Work

• On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
• The product of consecutive integers is never a power
• The Magma algebra system. I: The user language
• The Diophantine equation f(x) = g(y)
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