Primes in Arithmetic Progressions to Large Moduli. II.
Primes in arithmetic progressions to spaced moduli
Primes in intervals
Primes in Progressions to Prime-Power Modulus.
Primes in Shart Intervals.
Primes in short arithmetic progressions
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.
Primes of the form [cP].
Primes represented by quadratic polynomials in two variables
Primes with preassigned digits
Primes with preassigned digits
Primes with preassigned digits II
Primitive lattice points in a thin strip along the boundary of a large convex planar domain
Primitive Lattice Points in Rational Ellipses and Relates Arithmetic Functions.
Primitive points on elliptic curves
Primitive roots and quadratic non-residues
Primzahlen der Gestalt [f (n)].
Problème de diviseurs
Problème de diviseurs exponentiels et entiers exponentiellement sans facteur carré