Index of lattices and Hilbert polynomials

DOI10.1007/s11006-006-0142-3zbMath1116.11047OpenAlexW2066327138MaRDI QIDQ881100

Yu. M. Aleksentsev

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0142-3

zbMATH Keywords

latticesgeometry of numbersHilbert polynomialsheight of algebraic numbersmultiplicative dependence of algebraic numbers

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Lattices and convex bodies (number-theoretic aspects) (11H06) Heights (11G50) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Sections of the unit ball of \(\ell ^ n_ p\)
• An Introduction to the Geometry of Numbers
• An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers
• On the successive minima of the extended logarithmic height of algebraic numbers
• Uniformly counting points of bounded height
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