N. Kalinin

collaborators

3 papers

math-ph2026

Limits of Equi-Affine Equi-Distant Loci of Planar Convex Domains with Two Non-Parallel Asymptotes

Nikita Kalinin, Mikhail Shkolnikov

In this note, we introduce equi-affine invariants by averaging over the space of tropical structures of fixed covolume. Applied to the tropical distance series, this construction p…

math.NT2026

Weighted error-sum identities for periodic continued fractions and their generalizations

Kevin Calderon, Nikita Kalinin

For a purely $N$ -periodic continued fraction $I^¾ = [a_{0}, a_{1}, \dots, a_{N - 1}] = [a_{0}, a_{1}, \dots]$ , with $a_{k} = a_{k + N}$ for all $k \geq 0$ , and convergents $h_n/k_n=[a_0,a_1,\dots,…

math.NT2025

Evaluation of lattice sums via telescoping over topographs

Nikita Kalinin

Topographs, introduced by Conway in 1997, are infinite trivalent planar trees used to visualize the values of binary quadratic forms. In this work, we study series whose terms are…