2 papers
math.NT2023
A fourth derivative test for exponential sums
O Robert, P Sargos
We give an upper bound for the exponential in terms of and , where is a small positive number which denotes the size of the fourth derivat…
math.NT2023
A mean-value theorem for exponential sums. Applications to Weyl's inequality
Olivier Robert, Patrick Sargos
We study the mean value of sixth power of some exponential sums following an idea due to Bombieri and Iwaniec. The result applies to Weyl's inequality, following an idea due to Hea…