scientific article

zbMath0619.10026MaRDI QIDQ3755512

Martin C. Gutzwiller

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Riemann zeta functionquantum theoryscatteringzeroshyperbolic geometrynumber theorySchrödinger's equationSelberg's trace formulapunctured torus

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (zeta (s)) and (L(s, chi)) (11M06) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Zeta functions and periodic orbit theory: A review ⋮ \(H=xp\) with interaction and the Riemann zeros ⋮ Discrete universality of \(L\)-functions of new forms. II ⋮ \(\mathrm{AdS}_3/\mathrm{RMT}_2\) duality ⋮ From locality to irregularity: introducing local quenches in massive scalar field theory ⋮ Maximally chaotic dynamical systems ⋮ Black hole S-matrix for a scalar field ⋮ Gutzwiller's semiclassical trace formula and Maslov-type index theory for symplectic paths ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ Joint discrete universality for periodic zeta-functions ⋮ The Riemann zeros and the cyclic renormalization group

Cites Work

• On the Zeros of the Riemann Zeta Function in the Critical Strip
• Scattering Theory for Automorphic Functions. (AM-87)
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