3 papers
math.NT2026
Counting Algebraic Integers of Bounded Height in Cyclotomic Fields
Phillip Harris, John Yin
In this note, we fix a height bound , and give a bound on the number of algebraic integers and units of absolute height at most in cyclotomic extensions ,…
math.NT2025
Counting points on some genus zero Shimura curves
Tyler Genao, Tristan Phillips, Fredderick Saia +2
We count certain abelian surfaces with potential quaternionic multiplication defined over a number field by counting points of bounded height on some genus zero Shimura curves.
math.NT2025
A Chebotarev Density Theorem over Local Fields
Asvin G, Yifan Wei, John Yin
We compute the -adic densities of points with a given splitting type along a (generically) finite map, analogous to the classical Chebotarev theorem over number fields and funct…