doc. RNDr. Jiří Klaška, Dr.
E-mail:   klaska@fme.vutbr.cz  WWW:   http://www.mat.fme.vutbr.cz/home/klaska Dept.:   Institute of Mathematics Dept. of Algebra and Discrete Mathematics Position:   Associate Professor Room:   A1/1829

Supervised courses:

• Combinatory Analysis (SKA)
• Mathematics II-B (BM)

Publications:

• KLAŠKA, J.:
  Applications of Fibonacci numbers and the golden ratio in physics, chemistry, biology and economy,
  7TH CONFERENCE ON MATHEMATICS AND PHYSICS AT TECHNICAL UNIVERSITIES, pp.263-274, ISBN 978-80-7231-815-5, (2011), Univerzita obrany
  conference proceedings
  akce: 7. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí, Brno, 22.09.2011-22.09.2011
• KLAŠKA, J.; SKULA, L.:
  A note on the cubic characters of Tribonacci roots,
  FIBONACCI QUARTERLY, Vol.48, (2010), No.4, pp.324-326, ISSN 0015-0517, Fibonacci Asosiation
  journal article - other
• KLAŠKA, J.; SKULA, L.:
  Periods of the Tribonacci Sequence Modulo a Prime p 1 (mod 3),,
  FIBONACCI QUARTERLY, Vol.48, (2010), No.3, pp.228-235, ISSN 0015-0517, The Fibonacci Association
  journal article - other
• KLAŠKA, J.:
  Tribonacci partition formulas modulo m, Springer-Verlag
  journal article in Web of Science
• KLAŠKA, J.; SKULA, L.:
  The Cubic Character of the Tribonacci Roots,
  FIBONACCI QUARTERLY, Vol.48, (2010), No.1, pp.21-28, ISSN 0015-0517
  journal article - other
• KLAŠKA, J.:
  On Tribonacci - Wieferich Primes,
  FIBONACCI QUARTERLY, Vol.46/47, (2009), No.4, pp.290-297, ISSN 0015-0517, Fibonacci Association
  journal article - other
• KLAŠKA, J.:
  A search for Tribonacci - Wieferich primes,
  Acta Mathematica et Informatica Universitatis Ostraviensis, Vol.16, (2009), No.1, pp.15-20, ISSN 1211-4774
  journal article - other
• KLAŠKA, J.:
  Criteria for testing Wall's question,
  Czechoslovak Mathematical Journal, Vol.133, (2008), No.58, pp.1241-1246, ISSN 0011-4642, CSAV
  journal article - other
• KLAŠKA, J.:
  Tribonacci modulo 2^t and 11^t,
  Mathematica Bohemica, Vol.133, (2008), No.4, pp.377-387, ISSN 0862-7959, CSAV
  journal article - other
• KLAŠKA, J.:
  Tribonacci modulo p^t,
  Mathematica Bohemica, Vol.133, (2008), No.3, pp.267-288, ISSN 0862-7959, ČSAV
  journal article - other
  akce: 5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí, Univerzita obrany, Brno, 13.09.2007-13.09.2007
• KLAŠKA, J.:
  Short remark on Fibonacci-Wieferich primes,
  Acta Mathematica et Informatica Universitatis Ostraviensis, Vol.15, (2008), No.15, pp.21-25, ISSN 1211-4774
  journal article - other
• KLAŠKA, J.:
  Transitivity and partial order,
  Mathematica Bohemica, Vol.122, (2004), No.1, pp.75, ISSN 0862-7959
  journal article - other
• KLAŠKA, J.:
  Partitions and partially ordered sets,
  Acta Mathematica et Informatica Universitatis Ostraviensis, Vol.95, (2004), No.3, pp.45, ISSN 1211-4774
  journal article - other

List of publications at Portal BUT

Abstracts of most important papers:

• KLAŠKA, J.:
  Tribonacci partition formulas modulo m, Springer-Verlag
  journal article in Web of Science
  In this paper we shall investigate some basic questions related to modular periodicity of Tribonacci sequence from the point of view of enumerative combinatorics.
• KLAŠKA, J.; SKULA, L.:
  The Cubic Character of the Tribonacci Roots,
  FIBONACCI QUARTERLY, Vol.48, (2010), No.1, pp.21-28, ISSN 0015-0517
  journal article - other
  We discuss some properties of the roots of Tribonacci polynomials over finite fields.
• KLAŠKA, J.:
  On Tribonacci - Wieferich Primes,
  FIBONACCI QUARTERLY, Vol.46/47, (2009), No.4, pp.290-297, ISSN 0015-0517, Fibonacci Association
  journal article - other
  We study an analogue to the Fibonacci - Wieferich prime number problem
• KLAŠKA, J.:
  Criteria for testing Wall's question,
  Czechoslovak Mathematical Journal, Vol.133, (2008), No.58, pp.1241-1246, ISSN 0011-4642, CSAV
  journal article - other
  In the paper, we derive certain criterion for search of Fibonacci - Wieferich primes
• KLAŠKA, J.:
  Tribonacci modulo p^t,
  Mathematica Bohemica, Vol.133, (2008), No.3, pp.267-288, ISSN 0862-7959, ČSAV
  journal article - other
  akce: 5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí, Univerzita obrany, Brno, 13.09.2007-13.09.2007
  We study periods of Tribonacci sequences with respect to periods according to the prime module powers