Bérczes Attila
egyetemi docens

szoba: M415
telefon: 06-52-512900/22801
e-mail cím: berczesa@science.unideb.hu
honlap: http://www.math.unideb.hu/~berczesa
 

Bérczes Attila

Életrajz Publikációk Előadások English

Életrajz

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

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

  • PhD-ösztöndíjas: 1996-1999

  • egyetemi tanársegéd: 2000-2001

  • egyetemi adjunktus: 2001-2010

  • egyetemi docens: 2010 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-emlékérem

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

  • Debreceni Egyetem Természettudományi és Technológiai Karának dékáni tanácsadója: 2008 óta

  • szerkesztője a Communications in Mathematics folyóiratnak

  • 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, 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 értekezés, 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, 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. 40 (2010), 383-396.

[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 76 (2010), 227-250.

[23] A. Bérczes, On the sumsets of geometric progressions, Publ. Math. Debrecen 77 (2010), 261-276.

[24] A. Bérczes, J. Folláth and A. Pethő, On a family of collision-free functions, Tatra Mount. Math. Publ. 47 (2010), 1-13.

[25] A. Bérczes, K. Liptai and I. Pink, On balancing recurrence sequences, Fibonacci Quart. 48 (2010), 121-128.

[26] A. Bérczes and I. Pink, On the diophantine equation x2+d2k+1=yn, Glasgow Math. J., közlésre elfogadva.

[27] A. Bérczes and V. Ziegler, On geometric progressions on Pell equations and Lucas sequences, közlésre benyújtva.

[28] A. Bérczes, A. Dujella, L. Hajdu and F. Luca, On the size of sets whose elements have perfect power n-shifted products, Publ. Math. Debrecen, közlésre elfogadva.

[29] A. Bérczes, J.-H. Evertse and K. Győry, Multiply monogenic orders, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, közlésre elfogadva.

[30] A. Bérczes and F. Luca, On the largest prime factor of numerators of Bernoulli numbers, Indag. Math., közlésre elfogadva.

[31] A. Bérczes and F. Luca, On the sum of digits of numerators of Bernoulli numbers, Canad. Math. Bull., közlésre elfogadva.
 

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 (Csehország).

[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, Liptovský Ján (Szlovákia).

[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 (Csehország).

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

[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 (Ausztria).

[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 (Lengyelország).

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

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

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

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

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

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

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

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

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

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

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

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

[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 (Japán).

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

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

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

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

 [30] 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 (Csehország).

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

[32] Effective results for some equations with unknowns from a multiplicative division group, The 8th Polish, Slovak and Czech Conference on Number Theory, 2010, Bukowina Tatrzańska (Lengyelország).

[33] Effective results for points on certain subvarieties of tori, Canadian Number Theory Association Meeting, 2010, Wolfville (Kanada).

[34] Arithmetic progressions in the solution set of norm form equations, Number Theory and its Applications, An International Conference Dedicated to Kálmán Győry, Attila Pethő, János Pintz and András Sárközy, 2010, Debrecen.

[35] On resultant equations, Number Theory and its Applications, An International Conference Dedicated to Kálmán Győry, Attila Pethő, János Pintz and András Sárközy, 2010, Debrecen.

[36] Multiply monogenic orders, Journées Arithmétiques XXVII, 2011, Vilnius (Litvánia).

[37] Multiply monogenic orders, Paul Turán Memorial Conference, 2011, Budapest.

[38] Multiply monogenic orders, 20th Czech and Slovak International Conference on Number Theory, 2011, Stará Lesná (Szlovákia).