Arithmetic of Pall orders and representation of integers by some ternary quadratic forms

DOI10.1007/BF02108236zbMath0564.10018MaRDI QIDQ1057900

N. N. Belova

Publication date: 1985

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

zbMATH Keywords

ergodic theoremsrepresentations of integersgeneralized quaternion algebrasquaternary quadratic formsdiscrete ergodic methodflows of primitive integer points on ellipsoidsmixing theoremsPall ordersrings of integral quaternions

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Ergodic properties of integral points on ellipsoids of genus \(G_{[\Omega,1}\)]
• Representation of integers by positive ternary quadratic forms (A new modification of the discrete ergodic method)
• The thirty-nine systems of quaternions with a positive norm-form and satisfactory factorability
• Yu. V. Linnik's ergodic method in number theory
• On Generalized Quaternions

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