We analyze a natural parity problem on the divisors associated to Sturmian words. We find a
clear bias towards the odd divisors and prove a sharp asymptotic estimate for the average of …

We study the inequities in the distribution of Frobenius elements in Galois extensions of the
rational numbers with Galois groups that are either dihedral D 2 n or (generalized) …

We establish unconditional Ω Ω‐results for all weighted even moments of primes in
arithmetic progressions. We also study the moments of these moments and establish lower …

We investigate the race between prime numbers in many residue classes modulo q,
assuming the standard conjectures GRH and LI. Among our results we exhibit, for the first …

We continue to investigate the race between prime numbers in many residue classes
modulo q, assuming the standard conjectures GRH and LI. We show that provided n/\log q …

Hooley conjectured that the variance V (x; q) of the distribution of primes up to x in the
arithmetic progressions modulo q is asymptotically, in some unspecified range of q≤ x. On …

Around eighty years after its birth, the field of probabilistic number theory continues to see
very interesting developments. On the occasion of a thematic program on the subject that …

We analyze a natural parity problem on the divisors associated to Sturmian words. We find a
clear bias towards the odd divisors and obtain a sharp asymptotic estimate for the average …

The goal of this annotated bibliography is to record every publication on the topic of
comparative prime number theory together with a summary of its results. We use a unified …

1. FROM AN ELEMENTARY OLYMPIAD PROBLEM TO A WARING PROBLEM QUESTION
As sometimes happens in a matter intended to avoid any invol Page 1 DOI2 CRISTIAN …