András Sárközy

Q: What Schools Are Affiliated With András Sárközy

András Sárközy is affiliated with the following schools: University of Waterloo, University of Szeged, Eötvös Loránd University, Budapest University of Technology and Economics

András Sárközy's AcademicInfluence.com Rankings

András Sárközy

Mathematics

#1418

World Rank

#2338

Historical Rank

Algebra

#213

World Rank

#316

Historical Rank

Measure Theory

#2505

World Rank

#3010

Historical Rank

mathematics Degrees

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Mathematics

András Sárközy's Degrees

PhD Mathematics Eötvös Loránd University

Why Is András Sárközy Influential?

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According to Wikipedia, András Sárközy is a Hungarian mathematician, working in analytic and combinatorial number theory, although his first works were in the fields of geometry and classical analysis. He has the largest number of papers co-authored with Paul Erdős ; he has an Erdős number of one. He proved the Furstenberg–Sárközy theorem that every sequence of natural numbers with positive upper density contains two members whose difference is a full square. He was elected a corresponding member , and a full member of the Hungarian Academy of Sciences. He received the Széchenyi Prize . He is the father of the mathematician Gábor N. Sárközy.

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András Sárközy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Unsolved problems in number theory (2001) (867)
On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol (1997) (264)
On finite pseudorandom binary sequences VII: The measures of pseudorandomness (2002) (127)
Studies in Pure Mathematics (1983) (125)
On difference sets of sequences of integers. III (1978) (106)
On Finite Pseudorandom Binary Sequences: II. The Champernowne, Rudin–Shapiro, and Thue–Morse Sequences, A Further Construction (1998) (91)
Construction of large families of pseudorandom binary sequences (2004) (89)
On the Parity of Additive Representation Functions (1998) (83)
On difference sets of sequences of integers. I (1978) (73)
A finite pseudorandom binary sequence (2001) (69)
Construction of Pseudorandom Binary Sequences Using Additive Characters (2004) (69)
Finite addition theorems, I (1989) (68)
On the arithmetic structure of the integers whose sum of digits is fixed (1997) (62)
On the arithmetic structure of sets characterized by sum of digits properties (1996) (55)
On finite pseudorandom binary sequences III: The Liouville function, I (1999) (52)
Density and ramsey type results on algebraic equations with restricted solution sets (2012) (50)
Construction of pseudorandom binary sequences by using the multiplicative inverse (2005) (47)
On sums and products of residues modulo p (2005) (45)
On pseudorandom binary lattices (2006) (45)
A complexity measure for families of binary sequences (2003) (44)
On the pseudorandomness of the signs of Kloosterman sums (2004) (41)
On divisors of sums of integers. II. (1988) (40)
Combinatorial number theory (1996) (40)
Modular constructions of pseudorandom binary sequences with composite moduli (2005) (39)
On divisors of sums of integers. I (1986) (39)
On divisors of binomial coefficients, I (1985) (36)
Problems and results on additive properties of general sequences. I. (1985) (36)
On additive decompositions of the set of quadratic residues modulo p (2012) (36)
On the number of prime factors of integers of the form ab + 1 (1996) (34)
On Arithmetic Properties of Integers with Missing Digits I: Distribution in Residue Classes☆ (1998) (34)
On arithmetic properties of integers with missing digits II: Prime factors (1999) (34)
Problems and results on additive properties of general sequences. II (1986) (31)
On the distribution of the number of prime factors of sums $a+b$ (1987) (31)
On additive properties of general sequences (1994) (30)
On large families of subsets of the set of the integers not exceeding N (2009) (29)
Large Families of Pseudorandom Sequences of k Symbols and Their Complexity - Part I (2006) (29)
On Pseudo-Random Subsets of the Set of the Integers Not Exceeding N (2007) (28)
Fine Addition Theorems, II (1994) (27)
On sums of sequences of integers, I (1984) (26)
ON LARGE FAMILIES OF PSEUDORANDOM BINARY LATTICES (2007) (25)
On locally repeated values of certain arithmetic functions, I (1985) (25)
Equations in finite fields with restricted solution sets. II (Algebraic equations) (2008) (25)
On product representations of powers, I (1995) (25)
On the measures of pseudorandomness of binary sequences (2003) (25)
Equations in finite fields with restricted solution sets. I (Character sums) (2008) (24)
Construction of pseudorandom binary lattices by using the multiplicative inverse (2008) (23)
On the Distribution in Residue Classes of Integers with a Fixed Sum of Digits (2005) (23)
On the residues of products of prime numbers (1987) (23)
Problems and results on additive properties of general sequences, V (1986) (21)
On differences and sums of integers, I (1978) (21)
Greedy algorithm, arithmetic progressions, subset sums and divisibility (1999) (20)
On the Number of Prime Facttors of Integers Characterized by Digit Properties (2000) (20)
On shifted products which are powers (2002) (20)
The cross-correlation measure for families of binary sequences (2014) (19)
On the parity of partition functions (1995) (19)
On partitions without small parts (2000) (19)
The distribution of the number of prime divisors of sums a + b (1988) (19)
On finite pseudorandom binary sequences IV: The Liouville function, II (2000) (19)
On additive decompositions of the set of primitive roots modulo p (2013) (19)
On prime factors of integers of the form $ab+1$ (2000) (18)
On a Conjecture of Roth and Some Related Problems I (1989) (18)
On sum sets of sidon sets, II (1995) (18)
On Hilbert Cubes in Certain Sets (1999) (18)
On divisibility properties of integers of the forma+á (1987) (18)
Sumsets containing long arithmetic progressions and powers of 2 (1989) (17)
Polynomial values and generators with missing digits in finite fields (2015) (17)
Measures of pseudorandomness of families of binary lattices, II (A further construction) (2012) (17)
On the pseudo-random properties of $n^c$ (2002) (17)
On the pseudo-randomness of subsets related to primitive roots (2010) (16)
On sums of sequences of integers. II (1984) (16)
On Pseudorandomness in Families of Sequences Derived from the Legendre Symbol (2007) (16)
The sum of digits function in finite fields (2013) (15)
On locally repeated values of certain arithmetic functions. III (1987) (15)
On Pseudorandom Sequences and Their Application (2005) (15)
LARGE FAMILIES OF PSEUDORANDOM SUBSETS FORMED BY POWER RESIDUES (2008) (15)
ON LEGENDRE SYMBOL LATTICES (2008) (14)
On a theorem of Erdös and Fuchs (1980) (14)
Some remarks concerning irregularities of distribution of sequences of integers in arithmetic progressions. IV (1977) (14)
On Elements of Sumsets with Many Prime Factors (1993) (14)
On linear recursion and pseudorandomness (2005) (13)
On a theorem of Behrend (1967) (13)
On pseudorandom [0,1) and binary sequences (2007) (13)
On homogeneous multiplicative hybrid problems in number theory (1988) (13)
A lower bound for the counting function of Lucas pseudoprimes (1988) (12)
Arithmetic progressions in subset sums (1992) (12)
On the distribution of the summands of partitions in residue classes (2005) (12)
Measures of pseudorandomness of finite binary lattices, I. The measures Qk, normality (2010) (12)
Remarks on a paper of G. Halász (1977) (12)
On sets of coprime integers in intervals (1993) (12)
Measures of pseudorandomness for binary sequences constructed using finite fields (2009) (12)
On a problem of D. H. Lehmer (2007) (12)
Measures of pseudorandomness of finite binary lattices, II. (The symmetry measures) (2011) (12)
Large families of pseudorandom sequences of k symbols and their complexity, Part II (2005) (12)
On the number of partitions of n without a given subsum (I) (1989) (11)
Large families of pseudorandom sequences of k symbols and their complexity, Part I (2005) (11)
On p-pseudorandom binary sequences (2004) (11)
On the correlation of binary sequences (2005) (11)
On Finite Pseudorandom Binary Sequences, VI,(On Sequences) (2000) (11)
Measures of pseudorandomness of families of binary lattices, I (definitions, a construction using quadratic characters) (2011) (11)
On the correlation of the truncated Liouville function (2003) (10)
Fine Spectra and Limit Laws I. First-Order Laws (1997) (10)
On a problem of Erdos on integers, none of which divides the product of k others (2010) (10)
Family Complexity and VC-Dimension (2013) (10)
On pseudorandomness of families of binary sequences (2017) (10)
On a multiplicative hybrid problem (1987) (10)
On Finite Pseudorandom Binary Sequences, V.On (nα) and (n2α) Sequences (2000) (10)
Arithmetic Properties of Summands of Partitions II (2004) (10)
On Differences and sums of Integers, II (1977) (10)
On the Counting Function of Primitive Sets of Integers (1999) (9)
Congruence properties of the $\Omega$-function on sumsets (1999) (9)
On the Digits of Sumsets (2017) (9)
Congruence properties of the Ω-function on sumsets (1999) (9)
On the distribution of residues of products of integers (1987) (9)
On a problem in additive number theory (1994) (9)
Sumsets Containing Infinite Arithmetic Progressions (1988) (8)
Arithmetic Properties of Summands of Partitions (2004) (8)
Pseudorandom binary sequences and lattices (2008) (8)
On the Number of Additive Representations of Integers (2006) (8)
On some extremal properties of sequences of integers. II. (2022) (8)
On irregularities of distribution in shifts and dilations of integer sequences. I (1987) (8)
On the maximum density of minimal asymptotic bases (1989) (8)
On Two Partition Problems (1997) (7)
Hybrid problems in number theory (1989) (7)
On the linear complexity of binary lattices (2013) (7)
On the distribution of the summands of unequal partitions in residue classes (2006) (7)
CONSTRUCTIONS OF PSEUDORANDOM BINARY LATTICES (2010) (6)
Some remarks concerning irregularities of distribution of sequences of integers in arithmetic progressions, III (1978) (6)
Representation functions , Sidon sets and bases (2007) (6)
On sums which are powers (2003) (6)
On pseudo-random subsets of $${\mathbb Z _n}$$ (2009) (6)
The Measures of Pseudorandomness and the NIST Tests (2017) (6)
On the Asymptotic Behaviour of General Partition Functions (2000) (6)
On Reducible and Primitive Subsets of Fp, I (2015) (6)
An Erdős–Fuchs Type Theorem for Finite Groups (2011) (6)
Large Families of Pseudorandom Sequences of k Symbols and Their Complexity - Part II (2006) (6)
On the reducibility of large sets of residues modulo p (2013) (6)
On the number of pairs of partitions of n without common subsums (1992) (5)
On linear complexity of binary lattices, II (2014) (5)
On the Asymptotic Behaviour of General Partition Functions, II (2003) (5)
On the solvability of the equations [ai, aj] = ar and (a′i, a′j) = a′r in sequences of positive density (1966) (5)
THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 (1997) (5)
On the number of prime factors of summands of partitions (2006) (5)
On sums of sequences of integers. III (1984) (5)
On Divisibility Properties of Sequences of Integers (1970) (5)
On Arithmetic Properties of Products and Shifted Products (2015) (5)
Assessment of a quadrivalent nucleoside-modified mRNA vaccine that protects against group 2 influenza viruses (2022) (5)
On multiplicative decompositions of the set of the shifted quadratic residues modulo p (2013) (4)
Generation of further pseudorandom binary sequences, I (Blowing up a single sequence) (2015) (4)
A Sequence Analog of the Piatetski-Shapiro Problem (1997) (4)
On the divisibility properties of sequences of integers (II) (1968) (4)
On the average value for the number of divisors of sums $a + b$ (1994) (4)
On Locally Repeated Values of Certain Arithmetic Functions, IV (1997) (4)
On the average value for the number of divisors of numbers of formab+1 (1995) (4)
On pseudorandom properties of multiplicative functions (2003) (4)
Pseudorandom sequences of binary vectors (2008) (4)
On Prefix-Free and Suffix-Free Sequences of Integers (2000) (4)
Some solved and unsolved problems in combinatorial number theory, ii (1993) (4)
On finite pseudorandom binary lattices (2017) (4)
A LARGE FAMILY OF PSEUDORANDOM BINARY LATTICES (2008) (4)
On Large Values of the Divisor Function (1998) (4)
On a Problem of Straus (1990) (3)
On the density of primitive sets (2004) (3)
A Turan-kubilius type inequality on sum sets (2010) (3)
On the quotient sequence of sequences of integers (1999) (3)
On additive representation functions of finite sets, I (Variation) (2013) (3)
On multiplicative decompositions of polynomial sequences, III (2020) (3)
On almost divisibility properties of sequences of integers. I (1983) (3)
On Additive Representation Functions (2018) (3)
Graph Polynomials and Graph Transformations in Algebraic Graph Theory (2011) (3)
Some asymptotic formulas on generalized divisor functions, II (1982) (3)
ON MULTIPLICATIVE DECOMPOSITIONS OF POLYNOMIAL SEQUENCES, II (2017) (2)
Jean-Louis Nicolas and the Partitions (2005) (2)
Paul Erdős’s (1913-1996) (1997) (2)
On Additive Representative Functions (2013) (2)
On Prime Factors of Subset Sums (1994) (2)
On isolated, respectively consecutive large values of arithmetic functions (1994) (2)
On additive representations of integers. II (1981) (2)
On the divisibility properties of integers (I) (1966) (2)
Pseudorandom binary functions on rooted plane trees (2012) (1)
On the size of partial block designs with large blocks (2005) (1)
On primitive sets of squarefree integers (2001) (1)
A Turán-Kubilius type inequality on shifted products (2011) (1)
On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, I. (General Results) (2017) (1)
ON LEGENDRE SYMBOL LATTICES, II (2013) (1)
On exponential sums over prime numbers (1989) (1)
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions) (2021) (1)
Partitions sans petites parts (2009) (1)
Partitions sans petites parts (2009) (1)
On products of integers. II (2004) (1)
SOME ASYMPTOTIC FORMULAS ON GENERALIZED DIVISOR FUNCTIONS , IV by (2004) (0)
On additive representations of integers, III (1983) (0)
On the distribution of the sum of digits of sums $$a+b$$a+b (2019) (0)
On a multiplicative property of sequences of integers (1992) (0)
ON THE PRIME FACTORS OF \ k / AND OF CONSECUTIVE INTEGERS (0)
On summands of general partitions (2007) (0)
On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, II (Constructive Bounds) (2018) (0)
Generation of further pseudorandom binary sequences, I (2015) (0)
A Collection of MTA – ELTE GAC manuscripts (2017) (0)
Erdős and sequences (2015) (0)
On arithmetic properties of sumsets (2014) (0)
On the distribution of the sum of digits of sums a+b\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a+b$$\end{document (2018) (0)
THUE INEQUALITIES WITH A SMALL NUMBER OF PRIMITIVE SOLUTIONS (0)
On additive decompositions of the set of primitive roots modulo p (2011) (0)
On linear complexity of binary lattices, II (2013) (0)
Density and ramsey type results on algebraic equations with restricted solution sets (2012) (0)
On the linear complexity of binary lattices (2013) (0)
On additive representation functions of finite sets, I (Variation) (2012) (0)
Quasi-Random Graphs, Pseudo-Random Graphs and Pseudorandom Binary Sequences, I. (Quasi-Random Graphs) (2019) (0)

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Why Is András Sárközy Influential?

András Sárközy's Published Works

Published Works

Other Resources About András Sárközy

What Schools Are Affiliated With András Sárközy?

András Sárközy's AcademicInfluence.com Rankings