Quantum variance of Maass-Hecke cusp forms

DOI10.1007/s00220-009-0943-9zbMath1198.81138OpenAlexW2035749684MaRDI QIDQ982458

Peng Zhao

Publication date: 6 July 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1243916906

zbMATH Keywords

classical variancePoincare seriesMaass-Hecke L-functionsquantum variance

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) General quantum mechanics and problems of quantization (81S99)

Related Items (9)

Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Quantum variance for dihedral Maass forms ⋮ Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves ⋮ Intertwining the geodesic flow and the Schrödinger group on hyperbolic surfaces ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Bounds and algorithms for the -Bessel function of imaginary order ⋮ Quantitative quantum ergodicity and the nodal domains of Hecke-Maass cusp forms ⋮ The spectral decomposition of \(|\theta |^2\) ⋮ Stability inequalities involving gravity norm and temperature

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