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On the lattice of polynomials with integer coefficients: successive minima in $L_2(0,1)$
2020
Annales Polonici Mathematici
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Let P Z n be the additive subgroup of the real Hilbert space L2(0, 1) consisting of polynomials of order ≤ n with integer coefficients. We may treat P Z n as a lattice in (n + 1)-dimensional Euclidean space; let λi(P Z n ) (1 ≤ i ≤ n + 1) be the corresponding successive minima. We give rather precise estimates of λi(P Z n ) for i 2 3 n.
doi:10.4064/ap190413-20-10
fatcat:m7ie424wvzdzfjwisztqyutp7u