From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
Counting ideals in abelian number fields
Alessandro Languasco, Rashi Lunia, Pieter Moree
Already Dedekind and Weber considered the problem of counting integral ideals of norm at most in a given number field . Here we improve on the existing results in case $K/\m…
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…
Euler-Kronecker constants of modular forms: beyond Dirichlet -series
Steven Charlton, Anna Medvedovsky, Pieter Moree
The Euler-Kronecker constants related to congruences of Fourier coefficients of modular forms that have been computed so far, involve logarithmic derivatives of Dirichlet -serie…