Tim Browning

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20242026

most citedSums of three cubes over a function field

1 citations · 2 across the 6 of their papers we have counts for

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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 $n \times n$ matrices with integer entries in $[- T, T]$ , as $T \to \infty$ . Our work uses Fourier analysis and lead…

math.NT2024★ 1 cited

Optimal sums of three cubes in $F_{q} [t]$

Tim Browning, Jakob Glas, Victor Y. Wang

We use the circle method to prove that a density 1 of elements in $F_{q} [t]$ are representable as a sum of three cubes of essentially minimal degree from $F_{q} [t]$ ,…

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 $F_{q} [t]$ are representable as a sum of three cubes of minimal degre…

Pairs of commuting integer matrices

Optimal sums of three cubes in Fq​[t]

Sums of three cubes over a function field

Optimal sums of three cubes in $F_{q} [t]$