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math.NT2020★ 1 cited
A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors
Tanmay Khale, Cooper O'Kuhn, Apoorva Panidapu +2
Let be a finite Galois extension of . We count primes in short intervals represented by the norm of a prime ideal of satisfying a small sector condition determi…
math.NT2020★ 2 cited
Small gaps between almost primes, the parity problem, and some conjectures of Erdős on consecutive integers II
Daniel A. Goldston, Sidney W. Graham, Apoorva Panidapu +3
This paper is intended as a sequel to a paper arXiv:0803.2636 written by four of the coauthors here. In the paper, they proved a stronger form of the Erdős-Mirksy conjecture which…