On Iwasawa 𝜆-invariants for abelian number fields and random matrix heuristics

DOI10.1090/mcom/3823OpenAlexW4315631906MaRDI QIDQ5886878

Daniel Delbourgo, Heiko Knospe

Publication date: 11 April 2023

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06287

zbMATH Keywords

random matrices\(L\)-functionsIwasawa theory\(p\)-adic

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)

Related Items (1)

On large Iwasawa \(\lambda\)-invariants of imaginary quadratic function fields

Cites Work

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• Generalized irregular primes
• Sum expressions for Kubota–Leopoldt -adic -functions
• Modeling λ‐invariants by p‐adic random matrices
• Computing $p$-adic $L$-functions of totally real number fields

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