Bérczes Attila
egyetemi adjunktus

szoba: M219
telefon: 06-52-512900/22801
e-mail cím: berczesa@math.unideb.hu
honlap: -
 

Bérczes Attila

Életrajz Publikációk Előadások English

Életrajz

  • születési hely, idő: Nagykároly, 1972. április 3.

  • egyetemi végzettség: okleveles matematikus, matematika tanár (1996) és angol-magyar szakfordító, Kossuth Lajos Tudományegyetem, 1990-1999

  • PhD-ösztöndíjas: 1996-1999

  • egyetemi tanársegéd: 2000-2001

  • egyetemi adjunktus: 2001 óta

  • PhD fokozat: 2001
    disszertáció címe: Some new diophantine results on decomposable polynomial equations and irreducible polynomials

  • habilitáció: 2009
    disszertáció címe: Újabb eredmények a diofantikus egyenletek elméletében

  • díjak:
    1996: Rényi Kató-emlékdíj
    2001: Grünwald Géza-emlékdíj

  • nyelvtudás:
    angol (felsőfok)
    olasz (középfok)
    román (középfok)

  • referálója a Mathematical Reviews referáló folyóiratnak

Publikációk

[1] A. Bérczes and L. Hajdu, Computational experiences on the distances of polynomials to irreducible polynomials, Math. Comp., 66 (1997), 391-398.

[2] A. Bérczes and L. Hajdu, On a problem of P. Turán concerning irreducible polynomials, in: Number Theory, Diophantine, Computational and Algebraic Aspects (K. Győry, A. Pethő and V. T. Sós eds.), Berlin-New York, Walter de Gruyter, 1998, pp. 95-101.

[3] A. Bérczes, B. Brindza and L. Hajdu, On power values of polynomials, Publ. Math. Debrecen, 53 (1998), 375-381.

[4] A. Bérczes, On the number of solutions of index form equations, Publ. Math. Debrecen, 56 (2000), 251-262.

[5] A. Bérczes, On the number of solutions of norm form equations, Periodica Math. Hungarica, 43 (2001), 165-176.

[6] A. Bérczes, Some new diophantine results on decomposable polynomial equations and irreducible polynomials, PhD disszertáció, Debreceni Egyetem, 2001.

[7] A. Bérczes and K. Győry, On the number of solutions of decomposable polynomial equations, Acta Arith., 101 (2002), 171-187.

[8] A. Bérczes and J. Ködmön, Methods for the calculation of values of a norm form, Publ. Math. Debrecen, 63 (2003), 751-768.

[9] A. Bérczes, J. Ködmön and A. Pethő, A one-way function based on norm form equations, Periodica Math. Hungarica, 49 (2004), 1-13.

[10] A. Bérczes, J.-H. Evertse and K. Győry, On the number of equivalence classes of binary forms of given degree and given discriminant, Acta Arith., 113 (2004), 363-399.

[11] A. Bérczes and A. Pethő, On norm form equations with solutions forming arithmetic progressions, Publ. Math. Debrecen, 65 (2004), 281-290.

[12] A. Bérczes and A. Pethő, Computational experiences on norm form equations with solutions from an arithmetic progression, Glasnik Matematicki, 41 (2006), 1-8.

[13] A. Bérczes, A. Pethő and V. Ziegler, Parameterized norm form equations with arithmetic progressions, Journal of Symbolic Computation, 41 (2006), 790-810.

[14] A. Bérczes, J.-H. Evertse and K. Győry, Diophantine problems related to discriminants and resultants of binary forms, in: Diophantine Geometry, CRM Series, 4, Ed. Norm., Pisa, 2007, pp. 45-63.

[15] A. Bérczes, J.-H. Evertse and K. Győry, On the number of pairs of binary forms with given degree and given resultant, Acta Arith., 128 (2007), 19-54.

[16] A. Bérczes and I. Pink, On the diophantine equation x2+p2k=yn, Arch. Math., 91 (2008), 505-517.

[17] A. Bérczes, J.-H. Evertse and K. Győry, Effective results for linear equations in two unknowns from a multiplicative division group, Acta Arith., 136 (2009), 331-349.

[18] A. Bérczes, J.-H. Evertse, K. Győry and C. Pontreau, Effective results for points on certain subvarieties of tori, Math. Proc. Cambridge Phil. Soc., 147 (2009), 69-94.

[19] A. Bérczes and I. Járási, On the application of index forms in cryptography, Periodica Math. Hungarica, 58 (2009), 35-45.

[20] Bérczes A., Újabb eredmények a diofantikus egyenletek elméletében, habilitációs értekezés, Debreceni Egyetem, 2009.

[21] A. Bérczes, L. Hajdu and A. Pethő, Arithmetic progressions in the solution sets of norm form equations, Rocky Mountain Math. J., közlésre elfogadva.

[22] A. Bazsó, A. Bérczes, K. Győry and Á. Pintér, On the resolution of equations Axn-Byn=C in integers x, y, and n≥3, II., Publ. Math. Debrecen, közlésre elfogadva.

[23] A. Bérczes, K. Liptai and I. Pink, On balancing recurrence sequences, Fibonacci Quart., közlésre elfogadva.

[24] A. Bérczes, J. Folláth and A. Pethő, On a family of collision-free functions, közlésre benyújtva.

[25] A. Bérczes, On the sumsets of geometric progressions, Publ. Math. Debrecen, közlésre benyújtva.
 

Előadások

[1] On a problem of P. Turán, Number Theory Conference, 1996, Eger.

[2] On power values of polynomials, 13th Czech and Slovak International Number Theory Conference, 1997, Ostravice.

[3] Diszkrimináns forma egyenletek megoldásszámára vonatkozó becslések, Magyar Matematikus Doktoranduszok Konferenciája, 1998, Szeged.

[4] On index form equations, 14th Czech and Slovak International Number Theory Conference, 1999, Liptovsky Jan.

[5] On the number of solutions of norm form equations, Colloquium on Number Theory, 2000, Debrecen.

[6] On the number of pairs of polynomials with given resultant, 15th Czech and Slovak International Number Theory Conference, 2001, Ostravice.

[7] On the number of solutions of decomposable polynomial equations, Problèmes Diophantiens, CIRM, 2002, Marseille.

[8] Széteső polinom egyenletek megoldásszámáról, Kiss Péter Emlékkonferencia, 2002, Eger.

[9] Methods for the calculation of values of a norm form, Számelmélet Nap, 2003, Debrecen.

[10] A one way function based on norm form equations, Journées Arithmétiques XXIII, 2003, Graz.

[11] An application of norm forms in cryptography, Computational Number Theory and Cryptography in Honour of the 60th Birthday of Professor Hugh C. Williams, 2003, Warsaw.

[12] On the number of equivalence classes of binary forms with given degree and given discriminant, Workshop on Diophantine Approximation, 2003, Leiden.

[13] On the number of equivalence classes of binary forms with given degree and given discriminant, Number Theory Seminar, University of Bordeaux, 2004, Bordeaux.

[14] On the number of equivalence classes of binary forms with given degree and given discriminant, Number Theory Seminar, 2004, Jussieu, Chevaleret.

[15] On special solutions of norm form equations, Workshop on Algebraic Number Theory, Explicit Methods in Number Theory, 2004, Párizs.

[16] Norma forma egyenletek speciális megoldásairól, Kriptográfia és Számelmélet Nap, 2005, Nyíregyháza.

[17] On sumsets of geometric progressions, Journées Arithmétiques XXIV, 2005, Marseille.

[18] Norm form equations with solutions forming arithmetic progressions, 17th Czech and Slovak International Number Theory Conference, 2005, Malenovice.

[19] On arithmetic properties of solutions of norm form equations, Workshop on Solvability of Diophantine Equations, 2007, Leiden.

[20] On pairs of binary forms with given degree and given resultant, Journées Arithmétiques XXV, 2007, Edinburgh.

[21] On pairs of binary forms with given degree and given resultant, 18th Czech and Slovak International Number Theory Conference, 2007, Smolenice.

[22] On the number of equivalence classes of pairs of binary forms with given degree and given resultant, Intercity Seminar, 2007, Utrecht.

[23] Effective results for points on certain subvarieties of tori, The 7th Polish, Slovak and Czech Conference on Number Theory, 2008, Ostravice.

[24] Effective results for points on certain subvarieties of tori, Winter School on Explicit Methods in Number Theory, 2009, Debrecen.

[25] Effective results for points on certain subvarieties of tori, Department of Mathematics, Nihon University, 2009, Tokyo.

[26] Effective results for linear equations in two unknowns from a multiplicative division group, Department of Mathematics, Niigata University, 2009, Niigata.

[27] Effective results for a large class of diophantine equations, Kyoto Sangyo University, 2009, Kyoto.

[28] Effective results for points on certain subvarieties of tori, Journées Arithmétiques XXVI, 2009, Saint-Etienne.

 [29] Effective results for linear equations in two unknowns from a multiplicative division group, 19th Czech and Slovak International Number Theory Conference, 2009, Hradec nad Moravicí.

[30] Effective results for a large class of diophantine equations, First Algebra and Number Theory Conference, 2009, Ixtapa (Mexikó).

[31] Effective results for points on certain subvarieties of tori, Institute of Mathematics, TU Berlin, 2009, Berlin.