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math.NT2024
Estimates for trilinear and quadrilinear character sums
Étienne Fouvry, Igor E. Shparlinski, Ping Xi
We obtain new bounds on some trilinear and quadrilinear character sums, which are non-trivial starting from very short ranges of the variables. An application to an apparently new…
math.NT2024
On the Brun--Titchmarsh theorem. I
Ping Xi, Junren Zheng
The classical Brun--Titchmarsh theorem gives an upper bound, which is of correct order of magnitude in the full range, for the number of primes satisfying $p\equiv a…