2016/11/30 by Gautier Hanna, Hanna, Gautier
Mathematics · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Advanced Mathematical Identities
paper · pdf · doi:10.48550/arxiv.1611.10279
In this article, we prove a theorem à la Mauduit et Rivat (prime number theorem, Moebius randomness principle) for functions that count digital blocks whose length is a growing function tending to infinity. These sequences are not automatic. To obtain our results, we control sums of type I and II and use an adapted and refined version of the carry propagation property as well as standard methods from harmonic analysis.