dirichlet l-functions 1generalized riemann hypothesis 1least prime in arithmetic progression 1pair correlation 1quadratic non-residue 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue
Neelam Kandhil, Alessandro Languasco, Pieter Moree
The paper shows that using the pair‑correlation (vertical spacing) of zeros of Dirichlet L‑functions together with the Generalized Riemann Hypothesis yields improved bounds for the…
math.NT2025
Pair Correlation of zeros of Dirichlet -Functions: A possible path towards the conjectures of Chowla, Elliott-Halberstam and Montgomery
Neelam Kandhil, Alessandro Languasco, Pieter Moree
Assuming the Generalized Riemann Hypothesis and a pair correlation conjecture for the zeros of Dirichlet -functions, we establish the truth of a conjecture of Montgomery (in its…
math.NT2024
The Brauer-Siegel ratio for prime cyclotomic fields
Neelam Kandhil, Alessandro Languasco, Pieter Moree
The Brauer-Siegel theorem concerns the size of the product of the class number and the regulator of a number field . We derive bounds for this product in case is a prime cyc…