Gerardo González Robert, Mumtaz Hussain, Nikita Shulga, “Complex numbers with a prescribed order of approximation and Zaremba's conjecture”, Journal of Number Theory, 274 (2025), 1
I. D. Kan, “Around Zaremba's conjecture”, Mat. Zametki, 117:5 (2025), 680–686
I. D. Kan, “Around Zaremba's conjecture”, Math. Notes, 117:5 (2025), 769–774
Nikita Shulga, “Radical bound for Zaremba's conjecture”, Bulletin of London Math Soc, 2024
I. D. Kan, “Modular Generalization of the Bourgain–Kontorovich Theorem”, Math. Notes, 114:5 (2023), 785–796
I. D. Shkredov, “On a girth–free variant of the Bourgain–Gamburd machine”, Finite Fields Appl., 90 (2023), 102225
M. V. Lyamkin, “Some applications of growth in $\mathrm{SL}_2(\pmb{\mathbb{F}}_p)$ to the proof of modular versions of Zaremba's conjecture”, Sb. Math., 213:10 (2022), 1415–1435
I. D. Kan, “Strengthening of the Burgein–Kontorovich theorem on small values of Hausdorff dimension”, Funct. Anal. Appl., 56:1 (2022), 48–60
Misha Rudnev, Ilya D. Shkredov, “On the growth rate in SL2(Fp)${\rm SL_2}(\mathbb {F}_p)$, the affine group and sum‐product type implications”, Mathematika, 68:3 (2022), 738
I. D. Kan, “A strengthening of the Bourgain-Kontorovich method: three new theorems”, Sb. Math., 212:7 (2021), 921–964