3 papers
math.NT2024
Effective approximation to complex algebraic numbers by quadratic numbers
Prajeet Bajpai, Yann Bugeaud
We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.
math.NT2023
An annotated bibliography for comparative prime number theory
Greg Martin, Pu Justin Scarfy Yang, Aram Bahrini +9
The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We…
math.NT2021
A note on pencils of norm-form equations
Prajeet Bajpai, Michael A. Bennett
We find all solutions to the parametrized family of norm-form equations studied by Amoroso, Masser and Zannier. Our proof relies upon…