Vincent Tran

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math.NT2024

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points

Jeremy Booher, Jack Hsieh, Rakesh Rivera +3

Booher, Cais, Kramer-Miller and Upton study a class of $Z_{p}$ -tower of curves in characteristic $p$ with ramification controlled by an integer $d$ . In the special case that…

math.NT2022

Integer Complexity Generalizations in Various Rings

Aarya Kumar, Siyu Peng, Vincent Tran

In this paper, we investigate generalizations of the Mahler-Popkens complexity of integers. Specifically, we generalize to $k$ -th roots of unity, polynomials over the naturals, and…

Higher a-numbers in Zp​-towers via Counting Lattice Points

Integer Complexity Generalizations in Various Rings

Higher a-numbers in $Z_{p}$ -towers via Counting Lattice Points