4 papers · 1 filter
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.
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…
Effective -unit Equations Beyond 3 Terms : Newman's Conjecture
Prajeet Bajpai, Michael A. Bennett
We show how to effectively solve 5-term -unit equations when the set of primes has cardinality at most 3, and use this to provide an explicit answer to an old question of D.…
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…