On a new absolute version of Siegel's lemma

DOI10.1007/s40687-024-00422-5arXiv2308.05827OpenAlexW4391838905WikidataQ124898335 ScholiaQ124898335MaRDI QIDQ6202882

Lenny Fukshansky, Maxwell Forst

Publication date: 27 February 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.05827

zbMATH Keywords

heightsSiegel's lemma

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Diophantine equations (11D99)

Cites Work

• Unnamed Item
• Unnamed Item
• On the recovery of an integer vector from linear measurements
• Algebraic points of small height missing a union of varieties
• On Siegel's lemma
• Diophantine approximations and diophantine equations
• The best constant in Siegel's Lemma
• Higher-dimensional analogs of Hermite's constant
• An algebraic perspective on integer sparse recovery
• An extremal problem for integer sparse recovery
• On heights of algebraic subspaces and diophantine approximations
• Covering point-sets with parallel hyperplanes and sparse signal recovery
• Auxiliary Polynomials in Number Theory
• Addendum and erratum to An absolute Siegel's Lemma
• Positive Line Bundles on Arithmetic Varieties
• Linear forms in the logarithms of algebraic numbers
• Rational approximations to algebraic numbers

This page was built for publication: On a new absolute version of Siegel's lemma