Publications

• 2023

  KUREŠ, M. A Proof of Pollock’s Conjecture on Centered Nonagonal Numbers. MATHEMATICAL INTELLIGENCER, 2023, no. 2023, p. 1-2. ISSN: 0343-6993.
  Detail | WWW

• 2022

  KUREŠ, M. A Note on the Remarkable Expression of the Number 8/pi(2) That the Ramanujan Machine Discovered. MATHEMATICAL INTELLIGENCER, 2022, vol. 44, no. 2, p. 150-152. ISSN: 0343-6993.
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  MAYA, B.; KUREŠ, M. Some tridiagonal matrices and determinants of Schur-Cohn criterion for trinomials. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, vol. 84, no. 4, p. 67-80. ISSN: 1223-7027.
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  ČERMÁK, J.; FEDORKOVÁ, L.; KUREŠ, M. Complete classification scheme for the distribution of trinomial zeros with respect to their moduli. Publicationes Mathematicae Debrecen, 2022, vol. 101, no. 1-2, p. 119-146. ISSN: 0033-3883.
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• 2021

  KUREŠ, M. Cube-root-subgroups of SL_2 over imaginary quadratic integers. Computer Science Journal of Moldova, 2021, vol. 29, no. 2, p. 227-240. ISSN: 1561-4042.
  Detail | WWW | Full text in the Digital Library

  KUREŠ, M. On coordinate expressions of jet groups and their representations. Geometry, Integrability and Quantization, 2021, vol. 22, no. 1, p. 142-153. ISSN: 1314-3247.
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  KUREŠ, M. On Münchhausen numbers. Notes on Number Theory and Discrete Mathematics, 2021, vol. 27, no. 1, p. 14-21. ISSN: 1310-5132.
  Detail | WWW | Full text in the Digital Library

• 2019

  KUREŠ, M. Straddled numbers: numbers equal to the sum of powers of consecutive primes from the least prime factor to the largest prime factor. Notes on Number Theory and Discrete Mathematics, 2019, vol. 25, no. 2, p. 8-15. ISSN: 1310-5132.
  Detail | WWW | Full text in the Digital Library

  KUREŠ, M. Number theoretical views on resonant Rossby wave triads: graphs with vertices on quartics. Nonlinear Phenomena in Complex Systems, 2019, vol. 22, no. 3, p. 285-291. ISSN: 1561-4085.
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  KUREŠ, M.; ŠÚTORA, J. On some connected groups of automorphisms of Weil algebras. Transylvanian Journal of Mathematics and Mechanics, 2019, vol. 11, no. 1-2, p. 117-121. ISSN: 2067-239X.
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  KUREŠ, M. A characterization of sliding vectors by dual numbers, some dual curves and the screw calculus. Procedia Structural Integrity, 2019, vol. 23, no. 4, p. 396-401. ISSN: 2452-3216.
  Detail | WWW | Full text in the Digital Library

  KUREŠ, M. On elliptic curves with a closed component passing through a hexagon. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2019, vol. 27, no. 2, p. 67-82. ISSN: 1224-1784.
  Detail | WWW | Full text in the Digital Library

  KUREŠ, M. Two definitions of connections on manifolds and operations on the differential forms in local coordinates. Asia Pacific Journal of Mathematics, 2019, vol. 6, no. 11, p. 1-10. ISSN: 2357-2205.
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• 2018

  KUREŠ, M.; DECOME, T.; DRECOURT, G. LoRi-TTM cryptosystem. Annals of the University of Craiova, Mathematics and Computer Science Series, 2018, vol. 45, no. 1, p. 137-150. ISSN: 1223-6934.
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• 2017

  KUREŠ, M. Higher order frames and material symmetries. Solid State Phenomena, 2017, vol. 258, no. 1, p. 153-156. ISSN: 1662-9779.
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  Kureš, M, Šlapal, J. Professor Ladislav Skula is eighty. Mathematics for applications, 2017, vol. 6, no. 1, p. 1-2. ISSN: 1805-3610.
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• 2016

  IVIČIČ, V.; KUREŠ, M. Two general examples of Weil algebras having the group of automorphisms connected. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, vol. 13, no. 3, p. 1650035-1 (1650035-19 p.)ISSN: 0219-8878.
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  HORNÍČEK, J.; KUREŠ, M.; MACÁLKOVÁ, L. Some properties of orders of quaternion algebras with regard to the discrete norm. Mathematica Bohemica, 2016, vol. 141, no. 3, p. 285-405. ISSN: 0862-7959.
  Detail | WWW

  KUREŠ, M. Some Remarks to Higher Order Frames Occurring in Continuum Mechanics. In Continuous Media with Microstructure 2. Springer International Publishing, 2016. p. 45-52. ISBN: 978-3-319-28239- 8.
  Detail | WWW

• 2015

  KUREŠ, M. MMXV- numbers. The Mathematics Student, 2015, vol. 84, no. 3- 4, p. 123-125. ISSN: 0025- 5742.
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  KUREŠ, M. n- root near fractions. Asia Pacific Journal of Mathematics, 2015, vol. 2, no. 2, p. 88-93. ISSN: 2357- 2205.
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  KUREŠ, M. Subgroups of jet groups and material symmetries. In PCM-CMM-2015 Short Papers Vol. 2. Gdańsk: Polish Society of Theoretical and Applied Mechanics, 2015. p. 793-794. ISBN: 978-83-932107-6- 3.
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  KUREŠ, M. On fixed point subalgebras of some local algebras over a field. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2015, vol. 77, no. 1, p. 3-12. ISSN: 1024- 7696.
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• 2014

  DOUPOVEC, M.; KUREŠ, M. Some geometric constructions on Frobenius Weil bundles. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, vol. 35, no. S, p. 143-149. ISSN: 0926- 2245.
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  KUREŠ, M. Weil algebras associated to functors of third order semiholonomic velocities. Mathematical Journal of Okayama University, 2014, vol. 56, no. 1, p. 117-127. ISSN: 0030- 1566.
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  KUREŠ, M. A note to geometry of Cosserat media and deformation bundles. Transylvanian Journal of Mathematics and Mechanics, 2014, vol. 6, no. 1, p. 39-43. ISSN: 2067- 239X.
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  KUREŠ, M. Algebraické a číselně teoretické pozadí eliptické kryptografie s vybranými algoritmy, zejména pro určení řádu eliptické křivky. Kvaternion, 2014, vol. 2014, no. 2, p. 63-78. ISSN: 1805- 1324.
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  KUREŠ, M. Jet theory in microstructures. Key Engineering Materials (print), 2014, vol. 592-593, no. 1, p. 125-128. ISSN: 1013-9826.
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  KUREŠ, M. Variété des points proches: od definice Weilova bandlu až po nahlédnutí do syntetické diferenciální geometrie. In Sborník příspěvků 34. konference o geometrii a grafice. České Budějovice: Jihočeská univerzita v Českých Budějovicích, 2014. p. 147-152. ISBN: 978-80-7394-470- 4.
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• 2013

  KUREŠ, M. Lagrangians on iterated tangent bundles and the Hamiltonization. Miskolc Mathematical Notes, 2013, vol. 14, no. 2, p. 525-538. ISSN: 1787- 2405.
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  KUREŠ, M. Dwindlable R- algebras. Mathematics for applications, 2013, vol. 2, no. 2, p. 125-133. ISSN: 1805- 3610.
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  KUREŠ, M. On the S- operation in polynomial rings. Journal of Discrete Mathematical Sciences & Cryptography, 2013, vol. 16, no. 6, p. 329-336. ISSN: 0972- 0529.
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• 2012

  KUREŠ, M. Finite dimensional factor algebras of F2[X1,...,Xn] and their fixed point subalgebras. Open Journal of Applied Sciences, 2012, vol. 2, no. Suppl., p. 212-214. ISSN: 2165- 3917.
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• 2011

  KUREŠ, M.; SKULA, L. Reduction of matrices over orders of imaginary quadratic field. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, vol. 435, no. 6, p. 1903-1919. ISSN: 0024- 3795.
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  KUREŠ, M. Fixed point subalgebras of Weil algebras: from geometric to algebraic questions. In Complex and Differential Geometry. Springer Proceedings in Mathematics. Berlin Heidelberg: Springer, 2011. p. 183-192. ISBN: 978-3-642-20299- 5.
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  KUREŠ, M. Automorphisms of polynomial and local algebras over binary fields. In International Conference Applied Natural Sciences 2011 Proceedings. University of SS. Cyril and Methodius in Trnava, 2011. p. 128-130. ISBN: 978-80-8105-266- 8.
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  KUREŠ, M. On some directions in the development of jet calculus. Banach Center Publications, 2011, vol. 93, no. 1, p. 251-260. ISSN: 0137- 6934.
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  KUREŠ, M. Looking at osculating bundles through the semiholonomity equalizations. Advances and Applications in Mathematical Sciences, 2011, vol. 10, no. 7, p. 1-8. ISSN: 0974- 6803.
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• 2010

  DOBEŠ, J.; KUREŠ, M. Search for Wieferich primes through the use of periodic binary strings. Serdica Journal of Computing, 2010, vol. 4, no. 3, p. 293-300. ISSN: 1312- 6555.
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  KUREŠ, M. From optimal control problems to foliations, some kinds of multifoliations and relations to generalised jets. Journal of Quality Measurement and Analysis, 2010, vol. 6, no. 2, p. 19-32. ISSN: 1823- 5670.
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  KUREŠ, M. The composition of polynomials by the substitution principle. Journal of Discrete Mathematical Sciences & Cryptography, 2010, vol. 13, no. 6, p. 543-552. ISSN: 0972- 0529.
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  HRDINA, J.; KUREŠ, M.; VAŠÍK, P. A note on tame polynomial automorphisms and the security of TTM cryptosystem. APPLIED AND COMPUTATIONAL MATHEMATICS, 2010, vol. 9, no. 2, p. 226-233. ISSN: 1683- 3511.
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• 2008

  KUREŠ, M.; SKULA, L. Smith normal form of a matrix of generalized polynomials with rational exponents. Annales Universitatis Mariae Curie Sklodowska, 2008, vol. 62, no. 1, p. 81-90. ISSN: 0365- 1029.
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  KUREŠ, M. Kryptografické algoritmy v roli projektového učení a motivace pro matematicky nadané studenty. In Práce s talentovanou mládeží - Sborník příspěvků z mezinárodní konference (Editor: Jitka Šeneklová). Jihomoravské centrum pro mezinárodní mobilitu, Brno, 2008. p. 69-74. ISBN: 978-80-254-3376- 8.
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• 2007

  KUREŠ, M. On the computation of Smith normal form of a matrix of generalized polynomials with rational exponents. In APLIMAT 2007. Bratislava: Slovak University of Technology, 2007. p. 103-108.
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  KUREŠ, M.; SEHNAL, D. The order of algebras with nontrivial fixed point subalgebras. Lobachevskii Journal of Mathematics, 2007, vol. 25, no. 1, p. 187-196. ISSN: 1818- 9962.
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  KUREŠ, M. A note to the unipotency of the identity component of the group of algebra automorphisms. Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica, 2007, vol. 2007 (15), no. 1, p. 105-110. ISSN: 1224- 1784.
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  KUREŠ, M. On the connectedness of jet groups and groups of automorphisms of Weil algebras. Journal of Applied Mathematics, Statistics and Informatics., 2007, vol. 3, no. 2, p. 209-214. ISSN: 1336- 9180.
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• 2006

  KUREŠ, M. Local approach to higher order contact elements. Reports on Mathematical Physics, 2006, vol. 58, no. 2, p. 393-409. ISSN: 0034- 4877.
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  KUREŠ, M. Weil modules and gauge bundles. Acta Mathematica Sinica, 2006, vol. 22, no. 1, p. 271-278. ISSN: 1439- 8516.
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• 2005

  KUREŠ, M. On the symmetrisation of nonholonomic jets. Mathematical Proceedings of Royal Irish Academy, 2005, vol. 105, no. A, p. 93 ( p.)ISSN: 0035- 8975.
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• 2004

  KUREŠ, M., MIKULSKI, W. Natural operators lifting vector fields to bundles of Weil contact elements. 2004, vol. 54 (129), no. 6, p. 855 ( p.)
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  KUREŠ, M. Normální křivka jako imperativní fenomén. Normální křivka jako imperativní fenomén. Brno: Akademické nakladatelství CERM, 2004. ISBN: 80-7204-376- 5.
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• 2003

  KUREŠ, M., MIKULSKI, W. Liftings of linear vector fields to product preserving bundle functors on vector bundles. 2003, vol. 12, no. 1, p. 51 ( p.)
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  KUREŠ, M. Některé souvislosti variačního počtu a diferenciální geometrie z hlediska aplikací. Habilitační a inaugurační spisy 108. Brno: 2003. p. 1 ( p.)ISBN: 80-214-2313- 7.
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• 2002

  KUREŠ, M., MIKULSKI, W. Natural operators lifting 1- forms to bundles of Weil contact elements. 2002, vol. 49, no. 1, p. 23 ( p.)
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• 2001

  KUREŠ, M. Generalizations of jets and reflections in the theory of connections. 2001, vol. 59, no. 3- 4, p. 339 ( p.)
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  KUREŠ, M. Connections and torsions on TT* M. Annales Universitatis Mariae Curie Sklodowska, 2001, vol. LV, no. 9, p. 95 ( p.)ISSN: 0365- 1029.
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  KUREŠ, M. Matematické problémy pro teenagery - inteligentní zábava, tvůrčí práce, výzkum. In Aktivní formy podpory rozvoje nadání s důrazem na rozvoj samostatných tvůrčích aktivit. Praha: Nadační fond Jaroslava Heyrovského, 2001. p. 11 ( p.)
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  KUREŠ, M. Weil algebras of generalized higher order velocities bundles. In Global Differential Geometry: The Mathematical Legacy of Alfred Gray. Contemporary Mathematics 288. American Mathematical Society: American Mathematical Society, 2001. p. 358 ( p.)ISBN: 0-8218-2750- 2.
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• 2000

  KUREŠ, M. On the simplicial structure of some Weil bundles. 2000, vol. 2000, no. 63, p. 131 ( p.)
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  KUREŠ, M. Variační počet. Variační počet. skripta VUT. Brno: PC DIR - Real, 2000. ISBN: 80-214-1790- 0.
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• 1999

  KUREŠ, M. Affinors and connections in higher order geometry. In Differential Geometry and Applications. Brno: Ed.: I. Kolář,..., 1999. p. 239 ( p.)ISBN: 80-210-2097- 0.
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• 1998

  KUREŠ, M. Torsions of connections on tangent bundles of higher order. 1998, vol. 54, no. II, p. 65 ( p.)
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  KUREŠ, M. Some properties of connections on iterated tangent bundles. Archives of Mechanics, 1998, vol. 50, no. 3, p. 459 ( p.)ISSN: 0373- 2029.
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• 1996

  KUREŠ, M. Natural lifts of clastical linear connections to the cotangent bundle. 1996, vol. 96, no. 43, p. 181 ( p.)
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• 1995

  KUREŠ, M. Connections on cotangent bundles. Connections on Cotangent Bundles. PhD Thesis. Brno: KAG PřF MU Brno, 1995. ISBN: 0000- 0000.
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• 1899

  KUREŠ, M. In Differential geometry and Applications - Satellite Conferenc. Brno, ČR: MU Brno, 1899. p. 239 ( p.)ISBN: 80-210- 209.
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