most citedSums of three cubes over a function field

1 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2026

The Artin-Davenport conjecture on cubic forms

Dante Bonolis, Tim Browning, Jakob Glas +1

We show that any integral cubic form in ten or more variables has a nontrivial integer zero. Like earlier authors on this topic, we use geometric methods to produce a zero in some…

math.CO2026★ 1 cited

Remarks on the disproof of the unit distance conjecture

Noga Alon, Thomas F. Bloom, W. T. Gowers +6

We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The a…

math.NT2026

Beyond the square-root barrier: cubic forms of Perazzo type

Tim Browning, Ritabrata Munshi, Victor Y. Wang

We show how the circle method can be used to study rational points on a certain cubic fourfold, going beyond the square-root barrier.

math.NT2024

Pairs of commuting integer matrices

Tim Browning, Will Sawin, Victor Y. Wang

We prove upper and lower bounds on the number of pairs of commuting matrices with integer entries in , as . Our work uses Fourier analysis and lead…

math.NT2024★ 1 cited

Optimal sums of three cubes in

Tim Browning, Jakob Glas, Victor Y. Wang

We use the circle method to prove that a density 1 of elements in are representable as a sum of three cubes of essentially minimal degree from ,…

math.NT2024★ 1 cited

Sums of three cubes over a function field

Tim Browning, Jakob Glas, Victor Y. Wang

We use a function field version of the circle method to prove that a positive proportion of elements in are representable as a sum of three cubes of minimal degre…