Prime numbers of the form p = m²+n²+1 in short intervals
Primes in Arithmetic Progressions.
Primes in arithmetic progressions
Primes in arithmetic progressions to spaced moduli
Primes in Short Intervals.
Primes in tuples IV: Density of small gaps between consecutive primes
We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.
Progrès récents du crible et applications
Propriétés multiplicatives des valeurs de certains polynômes en deux variables
Propriétés q-multiplicatives de la suite , c > 1