2 papers
math.NT2023
A Note on the Base- Expansions of Putative Counterexamples to the -adic Littlewood Conjecture
John Blackman, Simon Kristensen, Matthew J. Northey
In this paper, we investigate the base- expansions of putative counterexamples to the -adic Littlewood conjecture of de Mathan and Teulié. We show that if a counterexample ex…
math.NT2021
On the Hasse principle for complete intersections
Matthew Northey, Pankaj Vishe
We prove the Hasse principle for a smooth projective variety $X\subset \PP^{n-1}_\Q$ defined by a system of two cubic forms as long as . The main tool here is the d…