Counting lattice points and weak admissibility of a lattice and its dual

DOI10.1007/s11856-020-2053-5zbMath1470.11192OpenAlexW3082619945MaRDI QIDQ2218712

Martin Widmer, Niclas Technau

Publication date: 18 January 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-020-2053-5

zbMATH Keywords

latticesdual latticesinhomogneous linear forms

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice points in specified regions (11P21) Inhomogeneous linear forms (11J20)

Cites Work

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• Badly approximable points on manifolds
• Ergodic theory on \(SL(n)\), diophantine approximations and anomalies in the lattice point problem
• Diophantine exponents of lattices
• A lower bound in asymptotic Diophantine approximations
• Simultaneous asymptotic diophantine approximations to a basis of real cubic number field
• Simultaneous diophantine approximations and cubic irrationals
• A theorem in diophantine approximations
• WEAK ADMISSIBILITY, PRIMITIVITY, O‐MINIMALITY, AND DIOPHANTINE APPROXIMATION
• Some results on diophantine approximation
• A Metrical Theorem in Diophantine Approximation
• Asymptotic Approximations to Quadratic Irrationalities, I
• ASYMPTOTIC DIOPHANTINE APPROXIMATIONS TO E
• ASYMPTOTIC DIOPHANTINE APPROXIMATIONS
• Some computations in diophantine approximations.
• Simultaneous Approximation to a Basis of a Real Numberfield
• Simultaneous asymptotic Diophantine approximations
• Asymptotic Diophantine Approximations and Equivalent Numbers
• Asymptotic Diophantine Approximations and Hurwitz Numbers
• Simultaneous Asymptotic Diophantine Approximations to a Basis of a Real Number Field

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