LATTICE POINTS IN VECTOR-DILATED ALGEBRAIC POLYTOPES

DOI10.17654/0972555522010zbMath1499.11232OpenAlexW4213245474WikidataQ114049342 ScholiaQ114049342MaRDI QIDQ5074017

Yashaswika Gaur, Tian An Wong

Publication date: 6 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/0972555522010

zbMATH Keywords

lattice pointsEhrhart polynomialirrational polytopevector dilation

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21)

Cites Work

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• Lattice points in algebraic cross-polytopes and simplices
• Ergodic theory on \(SL(n)\), diophantine approximations and anomalies in the lattice point problem
• Multidimensional Ehrhart reciprocity
• Asymptotics of Weighted Lattice Point Counts Inside Dilating Polygons
• Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.
• On integer points in polygons