16 citations · 16 across the 2 of their papers we have counts for
4 papers · 1 filter
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 the sum of two powered numbers
Jörg Brüdern, Olivier Robert
Fix a positive real number . The natural numbers with largest square-free divisor not exceeding form a set , say. It is shown that whenever then a…
On the distribution of powered numbers
Jörg Brüdern, Olivier Robert
Asymptotic formulae are established for the number of natural numbers with largest square-free divisor not exceeding , for any fixed positive parameter $\varthet…