Prime divisors of \(\ell\)-Genocchi numbers and the ubiquity of Ramanujan-style congruences of level \(\ell\)

DOI10.1016/j.jnt.2023.04.003zbMath1516.11008arXiv2209.08047OpenAlexW4378212710MaRDI QIDQ6156550

Pieter Moree, Pietro Sgobba

Publication date: 13 June 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.08047

zbMATH Keywords

Ramanujan-type congruencesArtin's primitive root conjecture\( \ell \)-Genocchi numbers\( \ell \)-regularity

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences for modular and (p)-adic modular forms (11F33) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

On \(n\)th order Euler polynomials of degree \(n\) that are Eisenstein

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