3 papers
math.NT2024
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.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.NT2024
Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
Prajeet Bajpai, Yann Bugeaud
We establish the first effective improvements on the Liouville inequality for approximation to complex non-real algebraic numbers by complex algebraic numbers of degree at most 4.