2 papers
math.NT2025
On the frequency of small gaps between the primes
Akos Magyar, Janos Pintz
In a recent work Friedlander studied the problem of how large consecutive prime gaps should be in order that the sum of the reciprocals should be divergent. Supposing a very deep H…
math.NT2025
Polynomial configurations in dense subsets of the prime lattice
Andrew Lott, Ákos Magyar, Giorgis Petridis +1
We provide a multidimensional extension of previous results on the existence of polynomial progressions in dense subsets of the primes. Let be a subset of the prime lattice - t…