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.NT2022★ 1 cited

Sums of Powers of Primes II

Lawrence C. Washington

For a real number $k$ , define $π_{k} (x) = \sum_{p \leq x} p^{k}$ . When $k > 0$ , we prove that $π_{k} (x) - π (x^{k + 1}) = Ω_{\pm} (\frac{x ^{\frac{1}{2} + k}}{lo g x} lo g lo g lo g x)$ as…

math.NT2022

Heuristics for anti-cyclotomic $Z_{p}$ -extensions

Debanjana Kundu, Lawrence C. Washington

This paper studies Iwasawa invariants in anti-cyclotomic towers. We do this by proposing two heuristics supported by computations. First we propose the Intersection Heuristics: the…

math.NT2022

Relative Ideal Classes of Arbitrary Order

David L. Pincus, Lawrence C. Washington

We adapt a known technique for searching for ideal classes of arbitrary order and then apply it to three families of number fields. We show that a family of cyclic sextic number fi…

Sums of Powers of Primes II

Heuristics for anti-cyclotomic Zp​-extensions

Relative Ideal Classes of Arbitrary Order

Heuristics for anti-cyclotomic $Z_{p}$ -extensions