Explicit form of the hyperbolic term in the Selberg trace formula for \(Sl(3,{\mathbb{Z}})\) and Pell's equation for hyperbolics in \(Sl(3,{\mathbb{Z}})\)

DOI10.1016/0022-314X(86)90097-1zbMath0596.10028OpenAlexW2049154224MaRDI QIDQ1078233

Dorothy I. Wallace

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90097-1

zbMATH Keywords

Selberg trace formulaclass numberstotally real cubic fieldsdiophantine criterionhyperbolic terms

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Maximal parabolic terms in the Selberg trace formula for SL(3,\({\mathbb{Z}})\backslash SL(3,{\mathbb{R}})/SO(3,{\mathbb{R}})\) ⋮ Minimal parabolic terms in the Selberg trace formula for SL(3,\({\mathbb{Z}})\setminus SL(3,{\mathbb{R}})/SO(3,{\mathbb{R}})\)

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• A nonarithmetic derivation of the Selberg trace formula
• Conjugacy Classes of Hyperbolic Matrices in Sl(n, Z) and Ideal Classes in an Order

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