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Counting Algebraic Integers of Bounded Height in Cyclotom...
[Submitted on 13 Jun 2026] · 2026-06-16 · via math updates on arXiv.org

Mathematics > Number Theory

arXiv:2606.15374 (math)

[Submitted on 13 Jun 2026]

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Abstract:In this note, we fix a height bound $B$, and give a bound on the number of algebraic integers and units of absolute height at most $B$ in cyclotomic extensions $\mathbb{Q}[\zeta_q]$, where $q$ is a prime power. The bound is asymptotic in $q$.

Submission history

From: John Yin [view email]
[v1] Sat, 13 Jun 2026 16:13:38 UTC (11 KB)

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