Counting modular matrices with specified maximum norm

DOI10.1016/0024-3795(94)90329-8zbMath0809.11023OpenAlexW2040906892MaRDI QIDQ1316205

Aloys Krieg

Publication date: 10 April 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90329-8

zbMATH Keywords

asymptotic behaviorlattice point problemEuler's totient functionnumber of matricesbounded maximum normmodular group \(\text{SL}_ 2 (\mathbb{Z})\)

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Structure of modular groups and generalizations; arithmetic groups (11F06) Lattice points in specified regions (11P21)

Cites Work

• Counting modular matrices with specified Euclidean norm
• Arithmetic Applications of the Hyperbolic Lattice Point Theorem
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