On abelian \(\ell \)-towers of multigraphs. II

DOI10.1007/s40316-021-00183-5zbMath1525.05081arXiv2105.08661OpenAlexW4200157211MaRDI QIDQ6081642

Daniel Vallières, Kevin J. McGown

Publication date: 26 October 2023

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08661

zbMATH Keywords

multigraphChebyshev polynomialsIwasawa theorynumber of spanning treesArtin-Ihara L-functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Class field theory (11R37) Congruences; primitive roots; residue systems (11A07) Cyclotomic extensions (11R18)

Related Items

On \(\mathbb{Z}_{\ell}^d\)-towers of graphs, The non-\(\ell\)-part of the number of spanning trees in abelian \(\ell\)-towers of multigraphs

Cites Work

• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic
• On abelian \(\ell\)-towers of multigraphs
• On Γ-extensions of algebraic number fields
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