Tomáš Vávra

Tomáš Vávra
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Publications
Number Theory Seminar

Publications

Research articles

  1. [1] T. Vávra, E. Pelantová. On positional representations of integer vectors. Linear Algebra Appl., 633, 316–331 (2022). (arXiv:2103.02599)
  2. [2] Z. Masáková, T. Vávra, F. Veneziano. Finiteness and periodicity of continued fractions over quadratic number fields. Bull. Soc. Math. Fr., 150(1), 77‐109 (2022. (arXiv:1911.07670)
  3. [3] T. Vávra. Periodic representations in Salem bases. Israel Journal of Mathematics, 242, 83‐95 (2021). (arXiv:1812.08228) (journal)
  4. [4] V. Kala, T. Vávra. Periodic representations in algebraic bases. Monatshefte fur Mathematik, 188(1), 109–119 (2019). (arXiv:1709.04143) (journal)
  5. [5] T. Vávra, F. Veneziano. Pisot unit generators in number fields. Journal of Symbolic Computation, 89, 94–108 (2018). (arXiv:1512.08786) (journal)
  6. [6] K. Hare, Z. Masáková, T. Vávra. On the spectra of Pisot cyclotomic numbers. Letters in Mathematical Physics, 108(7), 1729-1756 (2018). (arXiv:1612.09285) (journal)
  7. [7] Z. Krčmáriková, W. Steiner, T. Vávra. Finite beta-expansions with negative bases. Acta Math. Hung, 152(2), 485–504 (2017). (arXiv:1701.04609) (journal)
  8. [8] S. Baker, Z. Masáková, E. Pelantová, T. Vávra. On periodic representations in non-Pisot bases. Monatshefte fur Mathematik, 184(1), 1–19 (2017). (arXiv:1604.03354v1) (journal)
  9. [9] D. Dombek, Z. Masáková, T. Vávra. Confluent Parry numbers, their spectra, and integers in positive- and negative-base number systems. Journal de théorie des nombres de Bordeaux, 27 no. 3 (2015), 745–768. (arXiv:1402.4314) (journal)
  10. [10] P. Kůrka, T. Vávra. Analytic functions computable by finite state transducers. Lecture Notes in Computer Science 8587 (2014), 252–263. (PDF) (journal)
  11. [11] Z. Masáková, T. Vávra. Integers in number systems with positive and negative quadratic Pisot base. RAIRO-Theor. Inform. Appl. 48 (2014), 341–367. (arXiv:1302.4655) (journal)
  12. [12] Z. Masáková, T. Vávra. Arithmetics in numeration systems with negative quadratic base. Kybernetika 47 (2011), 74–92. (arXiv:1011.1403) (journal)
  13. [13] Z. Masáková, E. Pelantová, T. Vávra. Arithmetics in number systems with negative base. Theoret. Comp. Sci. 412 (2011), 835–845. (arXiv:1002.1009) (journal)

Preprints & To appear

  1. [14] J. Caldwell, K. Hare, T. Vávra. Non-expansive matrix number systems with bases similar to J_n(1). submitted. (arXiv:2110.11937)

Thesis

  1. [15] T. Vávra. Arithmetics in nonstandard number systems. PhD thesis, FJFI ČVUT, 2017. (PDF)
  2. [16] T. Vávra. Arithmetics in number systems with a negative base. Masters degree project, FJFI ČVUT, 2012. (PDF)