On the error bounds for visible points in some cut-and-project sets, joint work with Barak Weiss and Ilya Gringlaz, submitted. [Link]
Exceptional Points for Density Modulo 1, joint work with D. Berend, M. Boshernitzan, G. Kolesnik, R. Kumar, submitted. [Link]
The probability of k-wise independent bits to be all 1, joint work with D. Berend, P. Ernst, and A. Kontorovich, submitted. [Link]
R. Kumar and Z. Rudnick, The density conjecture for Juddian points, Journal d'Analyse (2025). [Link]
D. Berend and R. Kumar, Kepler set of linear recurrence sequences, Acta Mathematica Hungarica 175 (2025), 54--95. [Link]
R. Kumar, Kepler set of second-order linear recurrence sequences over p-adic fields, International Journal of Number Theory 21(1) (2025), 75--112. [Link]
D. Berend, R. Kumar, and A. Pollington, Simultaneous Visibility in the Integer Lattice. Journal of Number Theory 250 (2023), 84--123. [Link]
D. Berend and R. Kumar, Consecutive Ratios in Second-Order Linear Recurrence Sequences. Uniform Distribution Theory 17(2) (2022), 51--76. [Link]