On the minima of positive definite binary hamiltonian forms

zbMath1473.11085arXiv1905.04881MaRDI QIDQ5157712

Gaëtan Chenevier, Frédéric Paulin

Publication date: 19 October 2021

Full work available at URL: https://arxiv.org/abs/1905.04881

zbMATH Keywords

quaternion algebraEuclidean latticemaximal orderbinary Hamiltonian form

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Gauss and Kloosterman sums; generalizations (11L05) Bilinear and Hermitian forms (11E39) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Lattices over orders (16H20)

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Counting and equidistribution in quaternionic Heisenberg groups ⋮ Integral binary Hamiltonian forms and their waterworlds

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