Csaba Rakaczki
assistant lecturer

room: M228
telephone: 36-52-512900/22818
e-mail: rcsaba@math.unideb.hu
homepage: -

 

Curriculum vitae Publications Talks Magyar

Curriculum vitae

  • born: Miskolc, 6 May 1976

  • secondary school: Mihály Váci Grammar School, Encs, 1990-1994

  • university studies: mathematician, Lajos Kossuth University, 1994-1999

  • PhD scholarship: 1999-2002

  • research fellow: 2002-2006

  • assistant lecturer: since 2006

  • PhD degree: 2005
    title of the thesis: Diophantine results connected with binomial coefficients and power sums (in Hungarian)

  • prizes:
    1999:
    Kató Rényi Memory Prize
    2006: Géza Grünwald Memory Prize

 

Publications

[1] Cs. Rakaczki, Binomial coefficients in arithmetic progressions, Publ. Math. Debrecen, 57 (2000), 547-558.

[2] Cs. Rakaczki, On the diophantine equation x(x-1)…(x-(m-1))=λy(y-1)…(y-(n-1))+k, Acta Arith., 110 (2003), 339-360.

[3] Cs. Rakaczki and Á. Száz, Semicontinuity and closedness properties of relations in relator spaces, Mathematica (Cluj)-Tome, 45(68) (2003), 73-92.


[4] Cs. Rakaczki, On the diophantine equation
F(x\choose n)=b(y\choose m), Periodica Math. Hung., 49 (2004), 119-132.


[5] Cs. Rakaczki, On the diophantine equation Sm(x)=g(y), Publ. Math. Debrecen, 65 (2004), 439-460.

[6] Rakaczki Cs.,
Diophantine results connected with binomial coefficients and power sums (in Hungarian), PhD thesis, University of Debrecen, 2005.

[7] Á. Pintér and Cs. Rakaczki, On the zeros of shifted Bernoulli polynomials, Appl. Math. and Comput., 187 (2007), 379-383.

[8] Cs. Rakaczki, On some diophantine results related to Euler polynomials, Periodica Math. Hungar., submitted.

[9] Cs. Rakaczki, On some diophantine results related to Hermite polynomials, Acta Arith., submitted.

 

Talks

[1] On some combinatorial diophantine equations, 14th Czech and Slovak International Conference on Number Theory, Liptovský Ján, 6-10 September 1999.

[2] On some diophantine equations connected with binomial coefficients, Colloquium on Number Theory in honor of the 60th birthday of Professors Kálmán Győry and András Sárközy, Debrecen, 2-7 July 2000.

[3] Some diophantine equations related to binomial coefficients, 15th Czech and Slovak International Conference on Number Theory, Ostravice, 3-8 September 2001.

[4] On the diophantine equation x(x-1)…(x-(m-1))=λy(y-1)…(y-(n-1))+k, Explicit Algebraic Number Theory: NWO-OTKA workshop, Leiden, 27 September-2 October 2002.

[5] On combinatorial diophantine equations (in Hungarian), Conference on Number Theory to the Memory of Péter Kiss, Eger, 22-23 November 2002.


[6] On the diophantine equation
F(x\choose n)=b(y\choose m), 16th Czech and Slovak Number Theory Conference, Bratislava, 30 June-4 July 2003.


[7] On the diophantine equation
F(x\choose n)=b(y\choose m), Diophantine Approximation: NWO-OTKA workshop, Leiden, 28 July-2 August 2003.

[8]
Diophantine results connected with binomial coefficients and power sums (in Hungarian), Diophantine Day in Sopron, Sopron, 9 October 2004.

[9] On diophantine equations related to Bernoulli polynomials, XXIVes Journées Arithmétiques, Marseille, 4-8 July 2005.

[10] Power sums in polynomials (in Hungarian), Diophantine and Cryptography Days in Berekfürdő, Berekfürdő, 21-23 April 2006.

[11] The structure of roots of a family of orthogonal polynomials and its translates (in Hungarian), Number Theory and Cryptography Days in Eger, Eger, 5-7 October 2007.