16 citations · 16 across the 1 of their papers we have counts for
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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…
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…
On Artin's conjecture: linear slices of diagonal hypersurfaces
Jörg Brüdern, Olivier Robert
Artin's conjecture is established for all forms that can be realised as a diagonal form on an hyperplane.
Small gaps in coefficients of L-functions and B-free numbers in small intervals
Emmanuel Kowalski, Olivier Robert, Jie Wu
We discuss questions related to the non-existence of gaps in the series defining modular forms and other arithmetic functions of various types, and improve results of Serre, Balog…