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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.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…