2 citations · 4 across the 7 of their papers we have counts for
8 papers
On a Möbius double sum
Olivier Ramaré, Sebastian Zuniga Alterman
We study the double sum , which converges even in the case , where denotes…
From explicit estimates for the primes to explicit estimates for the Möbius function II
Olivier Ramaré, Sebastian Zuniga Alterman
We improve on all the results of [13] by incorporating the finite range computations performed since then by several authors. Thus we have \begin{align*} \Bigg|\sum_{n\le X}μ(n)\Bi…
An -bound for the Barban-Vehov weights
Olivier Ramaré, Sebastian Zuniga Alterman
Let the Barban--Vehov weights, defined in . Let and for some . We prove that \begin{equation*} \sum_{n\le X}\frac{1}{n}\Bigl(\sum_{\subst…
Möbius function and primes: an identity factory with applications
Olivier Ramaré, Sebastian Zuniga Alterman
We investigate the sums , where , , . Our goal is to obtain explicit asy…
Dynamics of -free systems generated by Behrend sets. I
Stanisław Kasjan, Mariusz Lemańczyk, Sebastian Zuniga Alterman
We study the complexity of -free subshifts which are proximal and of zero entropy. Such subshifts are generated by Behrend sets. The complexity is shown to achieve any…
On the Atkinson formula for the function
Daniele Dona, Sebastian Zuniga Alterman
Thanks to Littlewood (1922) and Ingham (1928), we know the first two terms of the asymptotic formula for the square mean integral value of the Riemann zeta function on the crit…
On a logarithmic sum related to a natural quadratic sieve
Sebastian Zuniga Alterman
We study the sum , , so that a continuous, monotoni…
Explicit averages of square-free supported functions: to the edge of the convolution method
Sebastian Zuniga Alterman
We give a general statement of the convolution method so that one can provide explicit asymptotic estimations for all averages of square-free supported arithmetic functions that ha…