L. Washington

activity

20082022

most citedOn Taking Square Roots without Quadratic Nonresidues over Finite Fields

13 citations · 27 across the 15 of their papers we have counts for

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math.NT2008★ 13 cited

On Taking Square Roots without Quadratic Nonresidues over Finite Fields

Tsz-Wo Sze

We present a novel idea to compute square roots over finite fields, without being given any quadratic nonresidue, and without assuming any unproven hypothesis. The algorithm is det…

math.NT2008

Kummer generators and lambda invariants

David Hubbard, Lawrence C. Washington

Let $F_{0} = Q (- d)$ be an imaginary quadratic field with $3 ∤ d$ and let $K_{0} = Q (3 d)$ . Let $ε_{0}$ be the fundamental unit of $K_{0}$ and let $λ$ …

math.NT2008

Visibility of ideal classes

Rene Schoof, Lawrence C. Washington

Cremona, Mazur, and others have studied what they call visibility of elements of Shafarevich-Tate groups of elliptic curves. The analogue for an abelian number field $K$ is capitul…