11 citations · 13 across the 7 of their papers we have counts for
5 papers · 1 filter
A note on iterated sumsets races
Paul Péringuey, Anne de Roton
This short note answers a question raised by Nathanson \cite{Nath25} about "races" between iterated sumsets. We prove that for any integer , there are finite sets of integers $A…
Additively stable sets, critical sets for the 3k-4 theorem in and
Paul Péringuey, Anne de Roton
We describe in this paper additively left stable sets, i.e. sets satisfying (meaning that is stable by addition with…
Generalization of the effective Wiener-Ikehara theorem
Szilárd Gy. Révész, Anne de Roton
We consider the classical Wiener-Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace tr…
Improving Roth's theorem in the primes
Harald Andres Helfgott, Anne de Roton
Let A be a subset of the primes. Let δ_P(N) = \frac{|\{n\in A: n\leq N\}|}{|\{\text{ prime}: n\leq N\}|}. We prove that, if δ_P(N)\geq C \frac{\log \log \log N}{(\log \log N)^{1…
Notes de lecture de l'article "Partial sums of the Möbius function" de Kannan Soundararajan
Michel Balazard, Anne De Roton
Kannan Soundararajan recently obtained a new estimate, conditional to the Riemann hypothesis, for the summatory function of the Mobius function. In this expository article we descr…