Zachary Feng
Published 2022-03-01Version 1
We calculate an explicit lower bound on the proportion of elliptic curves that are modular over any Galois CM field not containing $\zeta_5$. Applied to imaginary quadratic fields, this proportion is at least $2/5$. Applied to cyclotomic fields $\mathbb{Q}(\zeta_n)$ with $5\nmid n$, this proportion is at least $1-\varepsilon$ with only finitely many exceptions of $n$, for any choice of $\varepsilon > 0$.
2-universal Hermitian lattices over imaginary quadratic fields
The number of imaginary quadratic fields with prime discriminant and class number up to $H$
On an explicit lower bound for the star discrepancy in three dimensions
![QR code for arXiv:2203.00731 [math.NT]](http://oss.arxitics.com/images/favicon.svg)