TY  - JOUR
AU  - Győry, Kálmán
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (multiplicative decompositions)
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 210
PY  - 2023
SP  - 191
EP  - 204
PG  - 14
SN  - 0065-1036
DO  - 10.4064/aa220805-13-6
UR  - https://m2.mtmt.hu/api/publication/32844207
ID  - 32844207
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions)
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 202
PY  - 2022
IS  - 1
SP  - 29
EP  - 42
PG  - 14
SN  - 0065-1036
DO  - 10.4064/aa210309-14-6
UR  - https://m2.mtmt.hu/api/publication/32548302
ID  - 32548302
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On additive and multiplicative decompositions of sets of integers with restricted prime factors, II: Smooth numbers and generalizations
JF  - INDAGATIONES MATHEMATICAE-NEW SERIES
J2  - INDAGAT MATH NEW SER
VL  - 32
PY  - 2021
IS  - 4
SP  - 813
EP  - 823
PG  - 13
SN  - 0019-3577
DO  - 10.1016/j.indag.2021.05.001
UR  - https://m2.mtmt.hu/api/publication/31967722
ID  - 31967722
AB  - In part I of this paper we studied additive decomposability of the set Fy of the y-smooth numbers and the multiplicative decomposability of the shifted set Gy=Fy+{1}. In this paper, focusing on the case of ’large’ functions y, we continue the study of these problems. Further, we also investigate a problem related to the m-decomposability of k-term sumsets, for arbitrary k. © 2021 The Author(s)
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Győry, Kálmán
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On additive and multiplicative decompositions of sets of integers with restricted prime factors, I.. (Smooth numbers)
TS  - (Smooth numbers)
JF  - INDAGATIONES MATHEMATICAE-NEW SERIES
J2  - INDAGAT MATH NEW SER
VL  - 32
PY  - 2021
IS  - 2
SP  - 365
EP  - 374
PG  - 10
SN  - 0019-3577
DO  - 10.1016/j.indag.2020.10.007
UR  - https://m2.mtmt.hu/api/publication/31669838
ID  - 31669838
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On multiplicative decompositions of polynomial sequences, III
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 193
PY  - 2020
IS  - 2
SP  - 193
EP  - 216
PG  - 24
SN  - 0065-1036
DO  - 10.4064/aa190410-23-7
UR  - https://m2.mtmt.hu/api/publication/31454838
ID  - 31454838
AB  - In two earlier papers we studied the multiplicative decomposability of polynomial sequences {f(x):x∈Z,f(x)>0}. Here we extend this problem by considering also sequences which can be obtained from sequences of this type by changing “not too many” elements of them. In particular, we prove the multiplicative analogue of a theorem of Szemerédi and the second author (related to a problem of Erdős).
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Borbély, József
AU  - Sárközy, András
TI  - Quasi-Random Graphs, Pseudo-Random Graphs and Pseudorandom Binary Sequences, I. (Quasi-Random Graphs)
JF  - UNIFORM DISTRIBUTION THEORY
J2  - UNIF DISTRIB THEOR
VL  - 14
PY  - 2019
IS  - 2
SP  - 103
EP  - 126
PG  - 24
SN  - 1336-913X
DO  - 10.2478/udt-2019-0017
UR  - https://m2.mtmt.hu/api/publication/31280441
ID  - 31280441
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Mauduit, C
AU  - Rivat, J
AU  - Sárközy, András
TI  - On the distribution of the sum of digits of sums a plus b
JF  - RAMANUJAN JOURNAL
J2  - RAMANUJAN J
VL  - 49
PY  - 2019
IS  - 1
SP  - 55
EP  - 73
PG  - 19
SN  - 1382-4090
DO  - 10.1007/s11139-017-9977-3
UR  - https://m2.mtmt.hu/api/publication/3343340
ID  - 3343340
N1  - Export Date: 23 June 2023            
            Correspondence Address: Rivat, J.; Université d’Aix-Marseille, 163 Avenue de Luminy, Case 907, France; email: rivat@iml.univ-mrs.fr
AB  - Let (Formula presented.), (Formula presented.) be large subsets of (Formula presented.). We study the distribution of the sum of binary digits of the sums (Formula presented.) with (Formula presented.). © 2018 Springer Science+Business Media, LLC, part of Springer Nature
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Mérai, László
AU  - Rivat, Joel
AU  - Sárközy, András
ED  - Pomykala, J
ED  - Pieprzyk, J
ED  - Kaczorowski, J
TI  - The Measures of Pseudorandomness and the NIST Tests
T2  - Number-Theoretic Methods in Cryptology
PB  - Springer Netherlands
CY  - Cham (Németország)
SN  - 9783319766201
T3  - Lecture Notes in Computer Science, ISSN 0302-9743 ; 10737.
PY  - 2018
SP  - 197
EP  - 216
PG  - 20
DO  - 10.1007/978-3-319-76620-1_12
UR  - https://m2.mtmt.hu/api/publication/30501326
ID  - 30501326
N1  - Cited By :2            
            Export Date: 13 June 2022            
            Correspondence Address: Sárközy, A.; Department of Algebra and Number Theory, Pázmány Péter sétány 1/c, Hungary; email: sarkozy@cs.elte.hu
AB  - A few years ago new quantitative measures of pseudorandomness of binary sequences have been introduced. Since that these measures have been studied in many papers and many constructions have been given along these lines. In this paper the connection between the new measures and the NIST tests is analyzed. It is shown that finite binary sequences possessing strong pseudorandom properties in terms of these new measures usually also pass or nearly pass most of the NIST tests.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On multiplicative decompositions of polynomial sequences, II
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 186
PY  - 2018
IS  - 2
SP  - 191
EP  - 200
PG  - 10
SN  - 0065-1036
DO  - 10.4064/aa171116-7-3
UR  - https://m2.mtmt.hu/api/publication/30312047
ID  - 30312047
N1  - Cited By :3            
            Export Date: 9 June 2023            
            Funding details: European Commission, EC            
            Funding details: European Social Fund, ESF            
            Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, EFOP-3.6.1-16-2016-00022, EFOP-3.6.2-16-2017-00015, K115479, K119528            
            Funding text 1: Research supported in part by the NKFIH grants K115479 and K119528, and by the projects EFOP-3.6.1-16-2016-00022 and EFOP-3.6.2-16-2017-00015 of the European Union, co-financed by the European Social Fund.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Hajdu, Lajos
AU  - Sárközy, András
TI  - On multiplicative decompositions of polynomial sequences, I
JF  - ACTA ARITHMETICA
J2  - ACTA ARITH
VL  - 184
PY  - 2018
IS  - 2
SP  - 139
EP  - 150
PG  - 5
SN  - 0065-1036
DO  - 10.4064/aa170620-13-12
UR  - https://m2.mtmt.hu/api/publication/3324468
ID  - 3324468
LA  - English
DB  - MTMT
ER  -