Counting modular matrices with specified Euclidean norm

DOI10.1016/0097-3165(88)90048-9zbMath0643.10020OpenAlexW1991635118MaRDI QIDQ1101480

Morris Newman

Publication date: 1988

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(88)90048-9

zbMATH Keywords

sums of squaresEuclidean normmodular group SL(2,\({bbfZ})\)number of matrices

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (5)

Distribution of matrices with restricted entries over finite fields ⋮ Geodesics with one self-intersection, and other stories ⋮ How to pick a random integer matrix? (and other questions) ⋮ A higher moment formula for the Siegel-Veech transform over quotients by Hecke triangle groups ⋮ Counting modular matrices with specified maximum norm

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