On the congruences of Eisenstein series with polynomial indexes

DOI10.1007/s11139-023-00731-3arXiv1805.09225MaRDI QIDQ6078995

Min Sha, Su Hu, Min-Soo Kim

Publication date: 28 September 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09225

zbMATH Keywords

Eisenstein seriescongruencesBernoulli numbers\(p\)-adic analysisSerre's \(p\)-adic family of Eisenstein series

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences for modular and (p)-adic modular forms (11F33) Congruences; primitive roots; residue systems (11A07)

Cites Work

• On \(p\)-adic analogue of Weil's elliptic functions according to Eisenstein
• A series of new congruences for Bernoulli numbers and Eisenstein series
• A general family of congruences for Bernoulli numbers
• Number Theory
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