Trace formulae and applications to class numbers

DOI10.2478/S11533-013-0384-8zbMath1294.11076OpenAlexW1975035146MaRDI QIDQ2248107

Nicole Raulf

Publication date: 30 June 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0384-8

zbMATH Keywords

class numberstrace formulaHecke operators

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• The arithmetic and geometry of some hyperbolic three manifolds
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Asymptotics of class numbers
• The average measure of quadratic forms with given determinant and signature
• Traces of Hecke operators acting on three-dimensional hyperbolic space
• The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ
• Zeta Functions for Equivalence Classes of Binary Quadratic Forms
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• Class numbers of indefinite binary quadratic forms
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