English-Magyar

István Járási
PhD student

University of Debrecen
Institute of Mathematics
Department of Algebra and Number Theory
Phone: +36-52-316-666/2803
E-mail: ijarasi_at_math_dot_klte_dot_hu



Publications


Published and accepted for publication:

  • I.Járási: A Carmichael számokról (Hungarian) KöMaL, 50 2003/3, 136-145
  • I.Járási: Power integral bases in sextic fields with a cubic subfield Acta Sci. Math. (Szeged) XX (2003), 291--303 pdf
  • I.Járási: Computing all elements of given index in sextic fields with a cubic subfield Acta Math. Inform. Univ. Ostraviensis 10 (2002), no. 1, 49--59. pdf
  • I.Gaál, I.Járási and F.Luca: A remark on prime divisors of lengths of sides of Heron triangles Experim. Math. 12 (2003) 303--310
    pdf
  • E.Herrmann, I.Járási and A.Pethő: Note on J.H.E. Cohn's paper "The Diophantine equation $x^n=Dy^2+1$" Acta Arithm. 113 (2004) 69--76 pdf
  • I.Járási: Computing small solutions of unit equations in three variables II: Applications to resultant form equations Publ. Math. Debrecen 65 (2004) 399--408 pdf

In preparation:

  • I.Járási: Computing small solutions of unit equations in three variables I: Application to norm form equations Periodica Mathematica Humgarica submitted pdf

Preprints:

  • I.Járási: Remarks on P-orderings and simultaneous orderings pdf

Thesis:

  • I.Járási: Konstruktív módszerek diofantikus egyenletek megoldására (Hungarian) 2001. University of Debrecen pdf


Scientific datas:


Studies:

  • 1996-2001 University of Debrecen, mathematics, Supervisor: Dr. István Gaál
  • 2001- University of Debrecn, Phd student, Supervisor: Dr. István Gaál

Talks:

  • 2001. september, 15th Czeh and Slovak International Conference of Number Theory, Ostravice: Computing all elements of given index in sextic fields with a cubic subfield
  • 2002. september, Explicit Algebraic Number Theory: NWO-OTKA Workshop, Leiden: Computing small solutions of resultant equations
  • 2002. november, Seminar to the memory of Peter Kiss, Eger: On the solution of resultant type equations
  • 2003. july, 16th Czeh and Slovak International Conference of Number Theory, Bratislava: Computing the small solutions of unit equations: Norm forms
  • 2003. july, XXIII Journees Arithmetique, Graz: Computing the small solutions of unit equations: Norm forms
  • 2003. august, Worksop on Diophantine approximation, Leiden: Computing the small solutions of unit equations with an application to resultant form equations

Last update: 05. 2003.