David Hokken

activity

20232026

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2 papers · 1 filter

math.NT2025

Irreducibility and Galois groups of random reciprocal polynomials of large degree

David Hokken, Dimitris Koukoulopoulos

Let $A = a_{0} T^{m} + \sum_{j = 1}^{m - 1} a_{j} (T^{m - j} + T^{m + j}) + T^{2 m} + 1 \in Z [T]$ be a monic reciprocal polynomial of degree $2 m$ sampled randomly by selecting its coefficient…

math.NT2025

The asymptotic Mahler measure of Gaussian periods

Gunther Cornelissen, David Hokken, Berend Ringeling

We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of the…