Spectral triples and \(\zeta\)-cycles

DOI10.4171/lem/1049arXiv2106.01715OpenAlexW3166002119MaRDI QIDQ6168566

Alain Connes, Caterina Consani

Publication date: 9 August 2023

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01715

zbMATH Keywords

Riemann zeta functionspectral tripleprolate spheroidal functionsspectral realizationWeil positivity

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (zeta (s)) and (L(s, chi)) (11M06) Noncommutative geometry (à la Connes) (58B34) Relations with noncommutative geometry (11M55)

Related Items (5)

Aspects of the screw function corresponding to the Riemann zeta‐function ⋮ Matrix bispectrality and noncommutative algebras: beyond the prolate spheroidals ⋮ Matrix valued discrete-continuous functions with the prolate spheroidal property and bispectrality ⋮ Non-commutative geometry and cyclic homology. Abstracts from the workshop held July 31 -- August 6, 2022 ⋮ BC-system, absolute cyclotomy and the quantized calculus

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• The Riemann-Siegel expansion for the zeta function: high orders and remainders
• Some Asymptotic Expansions for Prolate Spheroidal Wave Functions
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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