5 citations · 8 across the 8 of their papers we have counts for
8 papers
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.…
Arithmetic Progressions in Squarefull Numbers
Prajeet Bajpai, Michael A. Bennett, Tsz Ho Chan
We answer a number of questions of Erdős on the existence of arithmetic progressions in -full numbers (i.e. integers with the property that every prime divisor necessarily occur…
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.
Effective Methods for Norm-Form Equations
Prajeet Bajpai
While effective resolution of Thue equations has been well understood since the work of Baker in the 1960s, similar results for norm-form equations in more than two variables have…
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…
Equivariant division
Prajeet Bajpai, Peter G. Doyle
Let C be a non-empty finite set, and Gamma a subgroup of the symmetric group S(C). Given a bijection f:A cross C to B cross C, the problem of Gamma-equivariant division is to find…