Publikációk
- K. Gyarmati,
On a problem of Diophantus,
Acta Arith. 97.1 (2001), 53-65,
ps,
pdf.
- K. Gyarmati,
On divisibility properties of integers of the form ab+1,
Period. Math. Hungar. 43 (2001), 71-79,
ps,
pdf.
- K. Gyarmati, A. Sárközy, C.L. Stewart,
On shifted products which are powers,
Mathematika, 49 (2002), 227-230,
ps,
pdf.
- K. Gyarmati, A. Sárközy, C.L. Stewart,
On sums which are powers,
Acta Math. Hungar. 99 (2003), 1-24,
ps,
pdf.
- K. Gyarmati,
An inequality between the measures of pseudorandomness,
Ann. Univ. Sci. Budapest. Eötvös
Sect. Math. 46 (2003), 157-166,
ps,
pdf.
- 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.
- K. Gyarmati,
On a family of pseudorandom binary sequences,
Period. Math. Hungar. 49 (2004), 45-63,
ps,
pdf.
- Y. Bugeaud, K. Gyarmati,
On generalizations of a problem of Diophantus,
Illinois J. Math. 48 (2004), 1105-1115,
ps,
pdf.
- K. Gyarmati,
On pseudorandom binary sequences,
Ph.D. dissertation, Budapest & Nancy 2004,
ps,
pdf.
- K. Gyarmati,
On the correlation of binary sequences,
Studia Sci. Math. Hungar. 42 (2005), 59-75,
ps,
pdf.
- K. Gyarmati,
A polynomial extension of a problem of Diophantus,
Publ. Math. Debrecen 66 (2005), 389-405,
ps,
pdf.
- 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.
- K. Gyarmati, Pethõ, A. Sárközy,
On linear recursion and pseudorandomness,
Acta Arith. 118 (2005), 359-374,
ps,
pdf.
- K. Gyarmati,
Pseudorandom sequences constructed by the power generator,
Period. Math. Hungar. 52 (2006) 9-26,
ps,
pdf.
- 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.
- K. Gyarmati,
A note to the paper "On a fast version of a
pseudorandom generator",
Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 49 (2006),
87-93.
ps,
pdf.
- K. Gyarmati, F. Hennecart, I. Z. Ruzsa,
Sum and difference of finite sets,
Funct. Approx. Comment. Math. 37 (2007), 175-186,
ps,
pdf.
- 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.
- K. Gyarmati, C.L. Stewart,
On powers in shifted products,
Glas. Mat. Ser. III 42 (2007), 273-279,
pdf.
- 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.
- 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.
- K. Gyarmati, C. Mauduit, A. Sárközy,
Pseudorandom binary sequences and lattices,
Acta Arith. 135 (2008), 181-197,
ps,
pdf.
- K. Gyarmati, A. Sárközy,
Equations in finite fields with restricted solution sets, I.
(Character sums.) ,
Acta Math. Hungar. 118 (2008), 129-148.
ps,
pdf.
- K. Gyarmati, A. Sárközy,
Equations in finite fields with restricted solution sets, II.
(Algebraic equations.),
Acta Math. Hungar. 119 (2008), 259-280,
ps,
pdf.
- K. Gyarmati,
Concatenation of pseudorandom binary sequences,
Period. Math. Hung. 58 (2009), 99-120,
ps,
pdf.
- K. Gyarmati,
On the complexity of a family related to the Legendre symbol,
Period. Math. Hung. 58 (2009), 209-215,
ps,
pdf.
- K. Gyarmati,
On the density of integers with consecutive divisors,
Publ. Math. Debrecen 74 (2009), 1-17.,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy
Constructions of pseudorandom binary lattices,
Unif. Distrib. Theory 4 (2009), 59-80,
ps,
pdf.
- K. Gyarmati, A. Sárközy, C. L. Stewart,
On Legendre symbol lattices,
Unif. Distrib. Theory 4 (2009), 81-95,
ps,
pdf.
- K. Gyarmati, P. Hubert, A. Sárközy,
Pseudorandom binary functions on almost uniform trees,
J. Combin. Number Theory 2 (2010), 1-24,
ps,
pdf.
- K. Gyarmati, M. Matolcsi, I. Z. Ruzsa,
A superadditivity and submultiplicativity
properties for cardinalities of sumsets,
Combinatorica 30 (2010), 163-174,
ps,
pdf.
- 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.
- 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.
- K. Gyarmati,
Concatenation of Legendre symbol sequences,
Studia Sci. Math. Hungar. 48 (2011), 193-204,
ps,
pdf.
- K. Gyarmati,
On new measures of pseudorandomness of binary lattices,
Acta Math. Hung. 131 (2011), 346-359,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
Measures of pseudorandomness of finite binary lattices, II
(The symmetry measures.),
Ramanujan J. 25 (2011), 155-178,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
Measures of pseudorandomness of families of binary
lattices, I (Definitions, a construction using quadratic
characters.), Publi. Math. Debrecen
79 (2011), 445-460,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
Measures of pseudorandomness of families of binary
lattices, II (A further construction.),
Publi. Math. Debrecen 80 (2012), 479-502.
ps,
pdf.
- K. Gyarmati, C. Mauduit
On the correlation of binary sequences, II,
Discrete Math. 312 (2012), 811-818.
ps,
pdf.
- P. Csikvári, A. Sárközy, K. Gyarmati,
Density and Ramsey type results on algebraic equations with
restricted solution sets,
Combinatorica 32 (2012), 425-449,
ps,
pdf.
- K. Gyarmati,
Elliptic curve analogues of a pseudorandom generator,
Period. Math. Hungar. 64 (2012), 119-130,
ps,
pdf.
- K. Gyarmati,
On the correlation of subsequences,
Unif. Distrib. Theory 7 (2012), 169-195,
ps,
pdf.
- K. Gyarmati, P. Hubert, A. Sárközy,
Pseudorandom binary functions on rooted plane trees,
J. Combin. Number Theory 4 (2012), 1-19,
ps,
pdf.
- K. Gyarmati, I. Z. Ruzsa,
A set of squares without arithmetic progression,
Acta Arith. 155 (2012), 109-115,
pdf.
- K. Gyarmati,
Pszeudovéletlen diszkrét struktúrákról,
habilitációs értekezés (2012),
ps,
pdf.
- K. Gyarmati,
Measures of pseudorandomness,
P. Charpin, A. Pott, A. Winterhof (eds.), Radon Series
in Computational and Applied Mathematics, de Gruyter 2013, 43-64.
- K. Gyarmati, A. Sárközy, C. L. Stewart,
On Legendre symbol lattices, II,
Unif. Distrib. Theory 8 (2013), 47-65,
ps,
pdf.
- K. Gyarmati, S. Konyagin, A. Sárközy,
On the reducibility of large sets of residues modulo p,
J. of Number Theory 133 (2013), 2374-2397,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
On the linear complexity of binary lattices,
Ramanujan J. 32 (2) (2013), 185-201,
ps,
pdf.
- K. Gyarmati,
Pseudorandomness of finite binary sequences and lattices,
doktori értekezés, 2014.
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
On linear complexity of binary lattices, II,
Ramanujan J. 34 (2) (2014), 237-263,
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
The cross-correlation measure for families of binary sequences,
Applications of Algebra and Number Theory (Lectures on the occasion
of Harald Niederreiter's 70th Birthday) 2014, eds.:
G. Larcher, F. Pillichshammer, A. Winterhof and
C. Xing,
ps,
pdf.
- K. Gyarmati,
On the complexity of a family of Legendre sequences with
irreducible polynomials ,
Finite Fields and Their Applications 33 (2015), 175-186,
preprint
ps,
pdf,
final version
link.
- K. Gyarmati, C. Mauduit, A. Sárközy,
Generation of further pseudorandom
binary sequences, I (Blowing up a single sequence),
Uniform Distribution Theory 10 (2015), 35-61,
ps,
pdf.
- K. Gyarmati, A. Sárközy,
On reducible and primitive subsets of F_p, I,
Integers 15A (2015), A6.
ps,
pdf.
- K. Gyarmati, A. Sárközy,
On reducible and primitive subsets of F_p, II,
Q. J. Math. (2015) (online),
ps,
pdf.
- K. Gyarmati, C. Mauduit, A. Sárközy,
On finite pseudorandom binary lattices,
Discrete Applied Mathematics 216 (2017) 589-597,
ps,
pdf.
- C. Dartyge, K. Gyarmati, A. Sárközy,
On irregularities of distribution of binary sequences relative to
arithmetic progressions, I. (General Results),
Uniform Distribution Theory 12 (2017), 55-67,
ps,
pdf.
- C. Dartyge, K. Gyarmati, A. Sárközy,
On irregularities of distribution of binary sequences relative to
arithmetic progressions, II. (Special sequences),
Uniform Distribution Theory 12 (2018), 1-21,
ps,
pdf.
- K. Gyarmati,
On the Cross-Combined Measure of Families of Binary Lattices and Sequences,
In: Pomykala, J; Pieprzyk, J; Kaczorowski, J (szerk.) Number-Theoretic Methods
in Cryptology : First International Conference, NuTMiC 2017, Warsaw, Poland,
Lecture Notes in Computer Science 10737 (2018), 217-238,
pdf.
- K. Gyarmati, Katalin, P. Hubert, A. Sárközy,
Pseudorandom binary functions on Bratteli diagrams,
Journal of Combinatorics and Number Theory 10 (2018), 27-49,
pdf.
- K. Fried, K. Gyarmati,
On multiplicative bases of finite sets,
Integers: Electronic Journal of Combinatorial Number Theory
20 Paper: A47 , 16 p. (2020),
pdf.
- K. Gyarmati, R. Sebők,
On an inequality between pseudorandom measures of lattices,
Discrete Applied Mathematics 300 (2021), 9-18,
pdf.
- K. Gyarmati, K. Müllner,
Random polynomials in Legendre symbol sequences,
Uniform Distribution Theory 18 no. 1 (2023), 83-96
pdf.