Kathleen L. Petersen

activity

20052025

most citedOn Character varieties of two-bridge knot groups

51 citations · 61 across the 13 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Partitions Associated to Class Groups of Imaginary Quadratic Number Fields

Kathleen Petersen, James Sellers

We investigate properties of attainable partitions of integers, where a partition $(n_{1}, n_{2}, \dots, n_{r})$ of $n$ is attainable if $\sum (3 - 2 i) n_{i} \geq 0$ . Conjecturally, under an ex…

math.NT2021

Minimal Mahler Measure in Cubic Number Fields

Lydia Eldredge, Kathleen Petersen

The minimal integral Mahler measure of a number field $K$ , $M (O_{K})$ , is the minimal Mahler measure of a non-torsion primitive element of $O_{K}$ . Upper and lower…