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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017

A family of cyclic quartic fields with explicit fundamental units

Steve Balady, Lawrence C. Washington

We construct a family of quartic polynomials with cyclic Galois group and show that the roots of the polynomials are fundamental units or generate a subgroup of index 5.

math.NT2017★ 1 cited

The Coefficient-Choosing Game

William Gasarch, Lawrence C. Washington, Sam Zbarsky

Let $D$ be an integral domain. Two players, Nora and Wanda, alternately choose coefficients from $D$ for a polynomial of degree $d$ . When they are done, if the polynomial has a roo…

math.NT2017★ 3 cited

Iwasawa Invariants of Some Non-Cyclotomic $Z_{p}$ -extensions

David Hubbard, Lawrence C. Washington

Iwasawa showed that there are non-cyclotomic $Z_{p}$ -extensions with positive $μ$ -invariant. We show that these $μ$ -invariants can be evaluated explicitly in many situations…

A family of cyclic quartic fields with explicit fundamental units

The Coefficient-Choosing Game

Iwasawa Invariants of Some Non-Cyclotomic Zp​-extensions

Iwasawa Invariants of Some Non-Cyclotomic $Z_{p}$ -extensions