Distribution of integer points on two-sheeted hyperboloids corresponding to second-order matrices with a given even trace
https://doi.org/10.22405/2226-8383-2026-27-2-194-202
Abstract
In this paper, using Yu. V. Linnik’s discrete ergodic method, we investigate the asymptotic behavior of integer points on a two-sheeted hyperboloid corresponding to second-order matrices with a given even trace 2𝑡 and a growing determinant 𝑚 → ∞. The special case of a matrix with a zero trace relates to previously conducted studies (see [1]–[4]).
About the Authors
Urusbi Mukhamedovich Pachev
Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
Zukhra Sultanovna Gerieva
Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
postgraduate student
Mariana Malilovna Isakova
Berbekov Kabardino-Balkarian State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
References
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Review
For citations:
Pachev U.M., Gerieva Z.S., Isakova M.M. Distribution of integer points on two-sheeted hyperboloids corresponding to second-order matrices with a given even trace. Chebyshevskii Sbornik. 2026;27(2):194-202. (In Russ.) https://doi.org/10.22405/2226-8383-2026-27-2-194-202
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