Asymptotics of second-order integral matrices lying in a given hyperbolic region and belonging to a given residue class

DOI10.1007/BF01085124zbMath0487.10041OpenAlexW2040207505MaRDI QIDQ1165278

A. M. Istamov

Publication date: 1982

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01085124

zbMATH Keywords

asymptotic formulahyperbolic regionhyperbolic domaindiscrete ergodic methodasymptotics of second-order integral matricesinteger matrices of second order

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) General binary quadratic forms (11E16) Additive number theory; partitions (11P99) Matrices, determinants in number theory (11C20)

Related Items (4)

Application of the discrete ergodic method to the analytical arithmetic of indefinite ternary quadratic forms ⋮ Distribution of integral points on certain two-sheeted hyperboloids ⋮ Distribution of integral points on the determinant surface ⋮ Arithmetic of second-order matrices

Cites Work

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