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math.NT2018
Equidistributions of Jacobi sums
Ping Xi
Let be a finite field of elements. We show that the normalized Jacobi sum , for each fixed non-trivial multiplicative character , becomes equ…
math.NT2018
When Kloosterman sums meet Hecke eigenvalues
Ping Xi
By elaborating a two-dimensional Selberg sieve with asymptotics and equidistributions of Kloosterman sums from -adic cohomology, as well as a Bombieri--Vinogradov type mean v…