P. Bajpai

activity

20172024

most citedAn annotated bibliography for comparative prime number theory

5 citations · 5 across the 6 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

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…

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 $x^{3} - (t^{3} - 1) y^{3} + 3 (t^{3} - 1) x y + (t^{3} - 1)^{2} = \pm 1$ studied by Amoroso, Masser and Zannier. Our proof relies upon…