2 papers
math.NT2026
The moments of split greatest common divisors
Abhishek Jha, Ayan Nath, Emanuele Tron
Sequences of the form , with , sums of -units, have been considered by several authors. The study of correspo…
math.NT2026
The Poisson Tail Conjecture for Primes in Short Intervals
Abhishek Jha
In 1976, Gallagher showed that, conditional on the Hardy--Littlewood conjectures, the number of primes below in a randomly chosen short interval of length asymptotic…