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math.NT2022
Bilinear forms with trace functions over arbitrary sets, and applications to Sato-Tate
Ping Xi
We prove non-trivial upper bounds for general bilinear forms with trace functions of bountiful sheaves, where the supports of two variables can be arbitrary subsets in $\mathbf{F}_…
math.NT2022
Bounds on bilinear forms with Kloosterman sums
Bryce Kerr, Igor E. Shparlinski, Xiaosheng Wu +1
We prove new bounds on bilinear forms with Kloosterman sums, complementing and improving a series of results by É. Fouvry, E. Kowalski and Ph. Michel (2014), V. Blomer, É. Fouvry,…
math.NT2022★ 1 cited
A conjecture of Sárközy on quadratic residues, II
Yong-Gao Chen, Ping Xi
Denote by the set of all quadratic residues in for each prime . A conjecture of A. Sárközy asserts, for all sufficiently large , that no subset…