Riemann hypothesis and strongly Ramanujan complexes from \(\mathrm{GL}_{n}\)

DOI10.1016/j.jnt.2015.09.002zbMath1330.11035OpenAlexW1742779445MaRDI QIDQ898817

Ming-Hsuan Kang

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.09.002

zbMATH Keywords

Riemann hypothesiszeta functionsbuildingsRamanujan complexes

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Groups with a (BN)-pair; buildings (20E42)

Related Items (3)

Ramanujan complexes and golden gates in \(PU(3)\) ⋮ Random walks on Ramanujan complexes and digraphs ⋮ The Ramanujan conjecture and its applications

Cites Work

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• The zeta functions of complexes from \(\mathrm{PGL}(3)\): a representation-theoretic approach
• Ramanujan complexes of type \(\widetilde A_d\)
• Riemannian coverings and isospectral manifolds
• Ramanujan hypergraphs
• Zeta functions of complexes arising from \(\mathrm{PGL}(3)\)
• Explicit construction of a Ramanujan \((n_1,n_2,\dots,n_{d-1})\)-regular hypergraph
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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