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math.NT2015
The Conway-Sloane calculus for 2-adic lattices
Daniel Allcock, Itamar Gal, Alice Mark
We motivate and explain the system introduced by Conway and Sloane for working with quadratic forms over the 2-adic integers, and prove its validity. Their system is far better for…
math.NT2008★ 8 cited
A Banach space determined by the Weil height
Daniel Allcock, Jeffrey D. Vaaler
The absolute logarithmic Weil height is well defined on the group of units of the algebraic closure of the rational numbers, modulo roots of unity, and induces a metric topology on…