THE RIEMANN ZETA FUNCTION AS AN EQUIVARIANT DIRAC INDEX

DOI10.1142/S0219887812500715zbMath1291.47020MaRDI QIDQ4917293

Mauro Spera

Publication date: 29 April 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta functionvon Neumann algebrasfractal membranesDirac-Ramond operatorinfinite tensor productsequivariant \(L^2\)-index\(g\)-prime systems

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (zeta (s)) and (L(s, chi)) (11M06) Linear symmetric and selfadjoint operators (unbounded) (47B25) Index theory (19K56) Generalized primes and integers (11N80) Classification of factors (46L36)

Related Items (1)

Remarks on the geometric quantization of Landau levels

Cites Work

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• Beurling zeta functions, generalised primes, and fractal membranes
• A short proof of the local Atiyah-Singer index theorem
• The Dirac-Ramond operator on loops in flat space
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• A Lefschetz fixed point formula for elliptic complexes. I
• The function spaces for direct product representations of the canonical commutation relations
• Free states of the canonical anticommutation relations
• Analytic index for a family of Dirac–Ramond operators
• Factors of Type III and the Distribution of Prime Numbers
• Theory of operator algebras I.

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