The following papers are available on an appropriate request.
Papers in Preparation and Preprints
[16] "On the Gauss transformation on discrete valuation fields", (with J. Hančl and R. Nair), 2025, preprint
[15] "On an extension of Philipp's Limit Theorem on continued fractions", (with K. Iamthong and A. Wetayawanich), 2025, preprint
[14] "A metric result on subsequences of the generalised Halton sequence induced by the Kronecker sequence", (with J. Tongsomporn), 2025, preprint
2023
[13] "Discrepancy of Weyl sequences (nα) perturbed by rationally periodic functions", (with S. Meleshko), Bull. Iranian Math. Soc. 49(42):1-11, 2023; https://doi.org/10.1007/s41980-023-00788-2
2019
[12] "The generalized and modified Halton sequence in the Cantor bases", (with D. Bednařík, D. Marques and P. Trojovský), Monatsh. Math. 188:1-29, 2019; https://doi.org/10.1007/s00605-018-1225-4
2018
[11] "On the quantitative metric theory of continued fractions in positive characteristic", (with R. Nair), Proc. Edinb. Math. Soc. (2), 61(1):283-293, 2018; https://doi.org/10.1017/S0013091517000177
2017
[10] "Distribution functions for subsequences of generalised van der Corput sequences", (with A. Haddley, R. Nair and M. Weber), Unif. Distrib. Theory, 12(2):1-10, 2017; https://doi.org/10.1515/udt-2017-0011
[9] "The Halton sequence and its discrepancy in the Cantor expansion", (with A. Haddley and R. Nair), Period. Math. Hungar., 75(1):128-141, 2017; http://dx.doi.org/10.1007/s10998-016-0169-5
2016
[8] "Quantitative metric theory of continued fractions", (with J. Hančl, A. Haddley and R. Nair), Proc. Indian Acad. Sci. (Math. Sci.), 126(2):167-177, 2016; http://dx.doi.org/10.1007/s12044-016-0266-7
[7] "On variants of the Halton sequence", (with A. Jaššová and R. Nair), Monatsh. Math., 108(4):743-764, 2016; http://dx.doi.org/10.1007/s00605-015-0794-8
2015
[6] "On recurrence in positive characteristic", (with A. Jaššová, S. Kristensen and R. Nair), Indag. Math. (N.S.), 26(2):346-354, 2015; http://dx.doi.org/10.1016/j.indag.2014.11.003
2014
[0] "On the metric theory of numbers in non-Archimedean settings", Ph.D. Thesis, University of Liverpool (UK), 2014; http://repository.liv.ac.uk/2006661/
[5] "On the metric theory of continued fractions in positive characteristic", (with R. Nair), Mathematika, 60(2):307-320, 2014; http://dx.doi.org/10.1112/S0025579314000114
[4] "On the complexity of the Liouville numbers in positive characteristic", (with R. Nair), Q.J. Math., 65(2):439-457, 2014; http://dx.doi.org/10.1093/qmath/hat019
2013
[3] "Distribution functions for subsequences of the van der Corput sequence", (with R. Nair), Indag. Math. (N.S.), 24(3):593-601, 2013; http://dx.doi.org/10.1016/j.indag.2013.03.006
[2] "On the metric theory of p-adic continued fractions", (with J. Hančl, A. Jaššová and R. Nair), Indag. Math. (N.S.), 24(1):42-56, 2013; http://dx.doi.org/10.1016/j.indag.2012.06.004
[1] "Polynomial actions in positive characteristic", (with J. Hančl, A. Jaššová and R. Nair), Proc. Steklov Inst. Math., 280(suppl. 2):37-42, 2013; http://dx.doi.org/10.1134/S0081543813030048
2012
[1] "Polynomial actions in positive characteristic", (with J. Hančl, A. Jaššová and R. Nair), Mathematics and Informatics, 1, Dedicated to 75th Anniversary of Anatolii Alekseevich Karatsuba, Sovrem. Probl. Mat., 16, Steklov Math. Inst., RAS, Moscow, 45-51, 2012; http://dx.doi.org/10.4213/spm33