Publikációk




  1. K. Gyarmati, On a problem of Diophantus, Acta Arith. 97.1 (2001), 53-65, ps, pdf.
  2. K. Gyarmati, On divisibility properties of integers of the form ab+1, Period. Math. Hungar. 43 (2001), 71-79, ps, pdf.
  3. K. Gyarmati, A. Sárközy, C.L. Stewart, On shifted products which are powers, Mathematika, 49 (2002), 227-230, ps, pdf.
  4. K. Gyarmati, A. Sárközy, C.L. Stewart, On sums which are powers, Acta Math. Hungar. 99 (2003), 1-24, ps, pdf.
  5. K. Gyarmati, An inequality between the measures of pseudorandomness, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 46 (2003), 157-166, ps, pdf.
  6. K. Gyarmati, On a pseudorandom property of binary sequences, Ramanujan J. 8 (2004), 289-302, ps, pdf, the original publication is available at www.springerlink.com.
  7. K. Gyarmati, On a family of pseudorandom binary sequences, Period. Math. Hungar. 49 (2004), 45-63, ps, pdf.
  8. Y. Bugeaud, K. Gyarmati, On generalizations of a problem of Diophantus, Illinois J. Math. 48 (2004), 1105-1115, ps, pdf.
  9. K. Gyarmati, On pseudorandom binary sequences, Ph.D. dissertation, Budapest & Nancy 2004, ps, pdf.
  10. K. Gyarmati, On the correlation of binary sequences, Studia Sci. Math. Hungar. 42 (2005), 59-75, ps, pdf.
  11. K. Gyarmati, A polynomial extension of a problem of Diophantus, Publ. Math. Debrecen 66 (2005), 389-405, ps, pdf.
  12. R. Dietmann, C. Elsholtz, K. Gyarmati, M. Simonovits, Shifted products that are coprime pure powers, J. Combin. Theory Ser. A 111 (2005), 24-36, ps, pdf.
  13. K. Gyarmati, A. Sárközy, A. Pethõ, On linear recursion and pseudorandomness, Acta Arith. 118 (2005), 359-374, ps, pdf.
  14. K. Gyarmati, Pseudorandom sequences constructed by the power generator, Period. Math. Hungar. 52 (2006) 9-26, ps, pdf.
  15. K. Gyarmati, On a fast version of a pseudorandom generator, General Theory of Information Transfer and Combinatorics, Lecture Notes in Computer Science, Vol. 4123, Springer Berlin / Heidelberg 2006, 326-342, ps, pdf.
  16. K. Gyarmati, A note to the paper "On a fast version of a pseudorandom generator", Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 49 (2006), 143-149. ps, pdf.
  17. K. Gyarmati, F. Hennecart, I. Z. Ruzsa, Sum and difference of finite sets, Funct. Approx. Comment. Math. 37 (2007), 7-18, ps, pdf.
  18. K. Gyarmati, S. Konyagin, I. Z. Ruzsa, Double and triple sums modulo a prime, CRM Proceedings & lecture Notes, Volume 43, AMS 2008, 271-278. ps, pdf.
  19. K. Gyarmati, C.L. Stewart, On powers in shifted products, Glas. Mat. Ser. III 42 (2007), 273-279, pdf.
  20. K. Gyarmati, On the number of divisors which are values of a polynomial, Ramanujan J. 17 (2008), 387-403, ps, pdf, the original publication is available at www.springerlink.com.
  21. K. Gyarmati, M. Matolcsi, I. Z. Ruzsa, Plünnecke's inequality for different summands, Building Bridges, Bolyai Soc. Mathematical Studies 19, ed. M. Grötschel, G. O. H. Katona, Springer-Bolyai 2008, 309-320, ps, pdf.
  22. K. Gyarmati, C. Mauduit, A. Sárközy, Pseudorandom binary sequences and lattices, Acta Arith. 135 (2008), 181-197, ps, pdf.
  23. K. Gyarmati, A. Sárközy, Equations in finite fields with restricted solution sets, I. (Character sums.) , Acta Math. Hungar. 118 (2008), 129-148. ps, pdf.
  24. K. Gyarmati, A. Sárközy, Equations in finite fields with restricted solution sets, II. (Algebraic equations.), Acta Math. Hungar. 119 (2008), 259-280, ps, pdf.
  25. K. Gyarmati, Concatenation of pseudorandom binary sequences, Period. Math. Hung. 58 (2009), 99-120, ps, pdf.
  26. K. Gyarmati, On the complexity of a family related to the Legendre symbol, Period. Math. Hung. 58 (2009), 209-215, ps, pdf.
  27. K. Gyarmati, On the density of integers with consecutive divisors, Publ. Math. Debrecen 74 (2009), 1-17., ps, pdf.
  28. K. Gyarmati, C. Mauduit, A. Sárközy Constructions of pseudorandom binary lattices, Unif. Distrib. Theory 4 (2009), 59-80, ps, pdf.
  29. K. Gyarmati, A. Sárközy, C. L. Stewart, On Legendre symbol lattices, Unif. Distrib. Theory 4 (2009), 81-95, ps, pdf.
  30. K. Gyarmati, M. Matolcsi, I. Z. Ruzsa, A superadditivity and submultiplicativity properties for cardinalities of sumsets, Combinatorica 30 (2010), 163-174, ps, pdf.
  31. K. Gyarmati, C. Mauduit, A. Sárközy, Measures of pseudorandomness of finite binary lattices, I (The measures $Q_k$, normality.), Acta Arith. 144 (2010), 295-313 , ps, pdf.
  32. K. Gyarmati, C. Mauduit, A. Sárközy, Measures of pseudorandomness of finite binary lattices, III ($Q_k$, correlation, normality, minimal values.), Unif. Distrib. Theory 5 (2010), 183-207, ps, pdf.
  33. P. Csikvári, A. Sárközy, K. Gyarmati, Density and Ramsey type results on algebraic equations with restricted solution sets, Combinatorica, to appear, ps, pdf.
  34. K. Gyarmati, Concatenation of Legendre symbol sequences, Studia Sci. Math. Hungar., to appear, ps, pdf.
  35. K. Gyarmati, Elliptic curve analogues of a pseudorandom generator, Period. Math. Hungar., to appear, ps, pdf.
  36. K. Gyarmati, On new measures of pseudorandomness of binary lattices, Acta Math. Hung., to appear, ps, pdf.
  37. K. Gyarmati, P. Hubert, A. Sárközy, Pseudorandom binary functions on almost uniform trees, J. Combin. Number Theory, to appear, ps, pdf.
  38. K. Gyarmati, C. Mauduit, A. Sárközy, Measures of pseudorandomness of finite binary lattices, II (The symmetry measures.), Ramanujan J., to appear, ps, pdf.
  39. K. Gyarmati, C. Mauduit, A. Sárközy, Measures of pseudorandomness of families of binary lattices, I (Definitions, a construction using quadratic characters.), Publi. Math. Debrecen ,submitted, ps, pdf.
  40. K. Gyarmati, C. Mauduit, A. Sárközy, Measures of pseudorandomness of families of binary lattices, II (A further construction.), Publi. Math. Debrecen ,submitted, ps, pdf.
  41. K. Gyarmati, A. Sárközy, C. L. Stewart, On Legendre symbol lattices, II, Unif. Distrib. Theory, submitted, ps, pdf.
  42. K. Gyarmati, C. Mauduit On the correlation of binary sequences, II, Discrete Math., submitted, ps, pdf.
  43. K. Gyarmati, On the correlation of subsequences, Unif. Distrib. Theory, submitted, ps, pdf.