Enrique Treviño

collaborators

2 papers

math.NT2025

Polynomial densities and Heilbronn's criterion

Alexis Hibbler, Kevin J. McGown, Enrique Treviño

Heilbronn gave a sufficient condition for a number field with a totally ramified prime to fail to be norm-Euclidean. We say that Heilbronn's criterion applies to a polynomial $f$ i…

math.NT2025

Explicit Burgess inequalities for cubefree moduli

Elchin Hasanalizade, Hua Lin, Greg Martin +2

Burgess proved that for $χ_{q}$ a primitive Dirichlet character modulo $q$ with $q$ cubefree, $\sum_{M < n \leq M + N} χ_{q} (n) = O (N^{1 - \frac{1}{r}} q^{\frac{r + 1}{4 r ^{2}} + ε})$ for al…