2 papers
math.NT2025
On the distribution of very short character sums
Paweł Nosal
We establish a central limit theorem of for almost all the primes , with uniformly random in , an…
math.NT2023
Sharper bounds for the error in the prime number theorem assuming the Riemann Hypothesis
Ethan Simpson Lee, Paweł Nosal
In this paper, we establish new bounds for classical prime-counting functions. All of our bounds are explicit and assume the Riemann Hypothesis. First, we prove that a…