48 citations · 76 across the 14 of their papers we have counts for
19 papers · 1 filter
Bilinear forms with trace functions
Étienne Fouvry, Emmanuel Kowalski, Philippe Michel +1
We obtain non-trivial bounds for bilinear sums of trace functions below the Pólya-Vinogradov range assuming only that the geometric monodromy group of the underlying ell-adic sheaf…
The purity locus of matrix Kloosterman sums
Márton Erdélyi, Will Sawin, Árpád Tóth
We establish the exact structure of the cohomology associated to a certain matrix exponential sum investigated in prior work (arXiv:2109.00762) of the first and last author.
Representation of Squares by Nonsingular Cubic Forms
Lasse Grimmelt, Will Sawin
We prove an asymptotic formula for the number of representations of squares by nonsingular cubic forms in six or more variables. The main ingredients of the proof are Heath-Brown's…
Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn conjecture over function fields
Will Sawin, Mark Shusterman
We establish cancellation in short sums of certain special trace functions over below the Pólya-Vinogradov range, with savings approaching square-root cancellatio…
Cohen-Lenstra heuristics and bilinear pairings in the presence of roots of unity
Michael Lipnowski, Will Sawin, Jacob Tsimerman
Let be a quadratic extension of global fields. We study Cohen-Lenstra heuristics for the -part of the relative class group when contai…
The Hasse principle for random Fano hypersurfaces
Tim Browning, Pierre Le Boudec, Will Sawin
It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least over any number field. Moreover, for such v…