On the lattice of polynomials with integer coefficients: successive minima in $L_2(0,1)$

DOI10.4064/ap190413-20-10zbMath1468.11154OpenAlexW3008996159MaRDI QIDQ5220113

Wojciech Banaszczyk

Publication date: 10 March 2020

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap190413-20-10

zbMATH Keywords

latticecovering radiussuccessive minimatransference theorempolynomials with integer coefficients

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Approximation by polynomials (41A10) Minima of forms (11H50)

Cites Work

• Polynomials with integer coefficients and their zeros
• Small polynomials with integer coefficients
• New bounds in some transference theorems in the geometry of numbers
• On the lattice of polynomials with integer coefficients: the covering radius in L_p(0,1)
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