Showing math.NTShow all
3 papers · 1 filter
math.NT2025
A random polynomial with multiplicative coefficients is almost surely irreducible
Péter P. Varjú, Max Wenqiang Xu
Assume that the Riemann hypothesis holds for Dedekind zeta functions. Under this assumption, we prove that a degree polynomial with random multiplicative coefficients is…
math.NT2024
Counting rationals and diophantine approximation in missing-digit Cantor sets
Sam Chow, Péter P. Varjú, Han Yu
We establish a new upper bound for the number of rationals up to a given height in a missing-digit set, making progress towards a conjecture of Broderick, Fishman, and Reich. This…
math.NT2023
Lifting all elements in
Amitay Kamber, Péter P. Varjú
We show that every element of can be lifted to an element of of norm at most , while there exist…