Robert J. Lemke Oliver

activity

20212025

3

-torsion in class groups of

2

-extensions

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2025

Effective Brauer-Siegel theorems for Artin $L$ -functions

Peter J. Cho, Robert J. Lemke Oliver, Asif Zaman

Given a number field $K \neq = Q$ , in a now classic work, Stark pinpointed the possible source of a so-called Landau-Siegel zero of the Dedekind zeta function $ζ_{K} (s)$ and u…

math.AP2024

Characterizing the support of semiclassical measures for higher-dimensional cat maps

Elena Kim, Theresa C. Anderson, Robert J. Lemke Oliver

Quantum cat maps are toy models in quantum chaos associated to hyperbolic symplectic matrices $A \in Sp (2 n, Z)$ . The macroscopic limits of sequences of eigenf…

math.NT2023

Uniform exponent bounds on the number of primitive extensions of number fields

Robert J. Lemke Oliver

A folklore conjecture asserts the existence of a constant $c_{n} > 0$ such that $# F_{n} (X) \sim c_{n} X$ as $X \to \infty$ , where $F_{n} (X)$ is the set of degree $n$ ex…

math.NT2021★ 1 cited

The average size of $3$ -torsion in class groups of $2$ -extensions

Robert J. Lemke Oliver, Jiuya Wang, Melanie Matchett Wood

We determine the average size of the 3-torsion in class groups of $G$ -extensions of a number field when $G$ is any transitive $2$ -group containing a transposition, for example $D_4…

Effective Brauer-Siegel theorems for Artin L-functions

Characterizing the support of semiclassical measures for higher-dimensional cat maps

Uniform exponent bounds on the number of primitive extensions of number fields

The average size of 3-torsion in class groups of 2-extensions

Effective Brauer-Siegel theorems for Artin $L$ -functions

The average size of $3$ -torsion in class groups of $2$ -extensions