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math.NT2019
On restricted divisor sums associated to the Chowla-Walum conjecture
Olivier Bordellès
We first study the mean value of certain restricted divisor sums involving the Chowla-Walum sums, improving in particular a recent estimate given by Iannucci. The aim of the second…
math.NT2019
A Note on a Unitary Analog to Redheffer's Matrix
Olivier Bordellès
We study a unitary analog to Redheffer's matrix. It is first proved that the determinant of this matrix is the unitary analogue to that of Redheffer's matrix. We also show that the…
math.NT2019
Sums of certain fractional parts
Olivier Bordellès
In this note, an upper bound for the sum of fractional parts of certain smooth functions is established. Such sums arise naturally in numerous problems of analytic number theory. T…