Antal Balog

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All published works

Action	Title	Year	Authors
+ PDF	Bykovskii-Type Theorem for the Picard Manifold	2020	Antal Balog András Bíró Giacomo Cherubini Niko Laaksonen
+	Bykovskii-type theorem for the Picard manifold	2019	Antal Balog András Bíró Giacomo Cherubini Niko Laaksonen
+	Bykovskii-type theorem for the Picard manifold	2019	Antal Balog András Bíró Giacomo Cherubini Niko Laaksonen
+	The prime geodesic theorem in square mean	2018	Antal Balog András Bíró Gergely Harcos Péter Maga
+	The prime geodesic theorem in square mean	2018	Antal Balog András Bíró Gergely Harcos Péter Maga
+	The prime geodesic theorem in square mean	2018	Antal Balog András Bíró Gergely Harcos Péter Maga
+	Expanders with Superquadratic Growth	2017	Antal Balog Oliver Roche‐Newton Dmitry Zhelezov
+	Expanders with superquadratic growth	2016	Antal Balog Oliver Roche‐Newton Dmitry Zhelezov
+ PDF	A low-energy decomposition theorem	2016	Antal Balog Trevor D. Wooley
+	Expanders with superquadratic growth	2016	Antal Balog Oliver Roche‐Newton Dmitry Zhelezov
+	A low-energy decomposition theorem	2015	Antal Balog Trevor D. Wooley
+ PDF	GAPS BETWEEN FRACTIONAL PARTS, AND ADDITIVE COMBINATORICS	2015	Antal Balog Andrew Granville József Solymosi
+ PDF	New Sum-Product Estimates for Real and Complex Numbers	2015	Antal Balog Oliver Roche‐Newton
+	Sum of dilates in vector spaces	2015	Antal Balog George Shakan
+	A low-energy decomposition theorem	2015	Antal Balog Trevor D. Wooley
+	Gaps between fractional parts, and additive combinatorics	2014	Antal Balog Andrew Granville József Solymosi
+	On arithmetic properties of sumsets	2014	Antal Balog Joël Rivat Andràs Sárközy
+	New sum-product estimates for real and complex numbers	2014	Antal Balog Oliver Roche‐Newton
+ PDF	On the sum of dilations of a set	2014	Antal Balog George Shakan
+	New sum-product estimates for real and complex numbers	2014	Antal Balog Oliver Roche‐Newton
+	Gaps between fractional parts, and additive combinatorics	2014	Antal Balog Andrew Granville József Solymosi
+	Sum of dilates in vector spaces	2014	Antal Balog George Shakan
+	On the Sum of Dilations of a Set	2013	Antal Balog George Shakan
+	Multiplicative functions in arithmetic progressions	2013	Antal Balog Andrew Granville K. Soundararajan
+	Another sum-product estimate in finite fields	2013	Antal Balog
+	Az analízis alkalmazása a számelméletben = Application of analysis in number theory	2013	J. Pintz Antal Balog András Bíró Gergely Harcos Szilárd Gy. Révész Imre Z. Ruzsa Andràs Sárközy Árpád Tóth
+	On the Sum of Dilations of a Set	2013	Antal Balog George Shakan
+	Harmonikus analízis és additív kombinatorika = Harmonic analysis and additive combinatorics	2013	Imre Z. Ruzsa Antal Balog Ákosné G. Horváth Norbert Hegyvári Szilárd Gy. Révész Csaba Sándor
+ PDF	Friable values of binary forms	2012	Antal Balog Valentin Blomer Cécile Dartyge Gérald Tenenbaum
+	Sum-Products Estimates with Several Sets and Applications	2012	Antal Balog Kevin Broughan Igor E. Shparlinski
+ PDF	Another Sum-Product Estimate in Finite Fields	2012	Antal Balog Antal Balog
+	On the sum of the digits of multiples	2012	Antal Balog Cécile Dartyge
+ PDF	On the sum of the digits of multiples	2012	Antal Balog Cécile Dartyge
+ PDF	On the sum of the digits of multiples	2012	Antal Balog Cécile Dartyge
+	A note on sum-product estimates	2011	Antal Balog
+ PDF	Average twin prime conjecture for elliptic curves	2011	Antal Balog Alina-Carmen Cojocaru Chantal David
+ PDF	On the number of solutions of exponential congruences	2011	Antal Balog Kevin Broughan Igor E. Shparlinski
+	On the Number of Solutions of Exponential Congruences	2010	Antal Balog Kevin Broughan Igor E. Shparlinski
+	On the Number of Solutions of Exponential Congruences	2010	Antal Balog Kevin Broughan Igor E. Shparlinski
+	Average twin prime conjecture for elliptic curves	2007	Antal Balog Alina Carmen Cojocaru Chantal David
+	Multiplicative functions in arithmetic progressions	2007	Antal Balog Andrew Granville K. Soundararajan
+	Additív és multiplikatív számelmélet = Additive and multiplicative number theory	2007	Imre Z. Ruzsa Antal Balog Norbert Hegyvári J. Pintz Csaba Sándor
+	Elements of class groups and Shafarevich-Tate groups of elliptic curves	2003	Antal Balog Ken Ono
+ PDF	The arithmetic of the coefficients of half-integral weight Eisenstein series	2003	Antal Balog William McGraw Ken Ono
+	The Chebotarev Density Theorem in Short Intervals and Some Questions of Serre	2001	Antal Balog Ken Ono
+	PRIME POWER DEGREE REPRESENTATIONS OF THE SYMMETRIC AND ALTERNATING GROUPS	2001	Antal Balog Christine Bessenrodt Jørn B. Olsson Ken Ono
+	On triplets with descending largest prime factors	2001	Antal Balog
+	None	2001	Antal Balog Imre Z. Ruzsa
+	POLYNOMIAL INDEX GROWTH GROUPS	2000	Antal Balog László Pyber Avinoam Mann
+ PDF	Sums of Two Squares in Short Intervals	2000	Antal Balog Trevor D. Wooley
+	On some convex lattice polytopes	1999	Antal Balog Jean-Marc Deshouillérs
+	A New Lower Bound for the <i>L</i> <sup>1</sup> Mean of the Exponential Sum with the Möbius Function	1999	Antal Balog Imre Z. Ruzsa
+ PDF	On smooth gaps between consecutive prime numbers	1999	Antal Balog Jörg Brüdern Trevor D. Wooley
+	European Congress of Mathematics: Budapest, July 22-26, 1996	1998	Antal Balog
+ PDF	Six Primes and an Almost Prime in Four Linear Equations	1998	Antal Balog
+ PDF	On strings of consecutive integers with no large prime factors	1998	Antal Balog Trevor D. Wooley
+	On the <i>L</i> <sup>1</sup> Mean of the Exponential Sum Formed with the Möbius Function	1998	Antal Balog Alberto Perelli
+	Large deviations and perturbations of random walks and random surfaces	1998	Erwin Bolthausen Antal Balog Gyula O. H. Katona A Recski D. Szász
+	On an Additive Property of Stable Sets	1997	Antal Balog Imre Z. Ruzsa
+ PDF	Congruences for Fourier coefficients of half-integral weight modular forms and special values of L-functions	1996	Antal Balog Henri Darmon Ken Ono
+	Sums of three cubes in three linked three-progressions.	1995	Jörg Brüdern Antal Balog
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di
+	Difference sets without κ-th powers	1994	Antal Balog J. Pelikán J. Pintz Endre Szemerédi
+	Linear equations in primes	1992	Antal Balog
+ PDF	A hybrid of theorems of Vinogradov and Piatetski-Shapiro	1992	Antal Balog John Friedlander
+ PDF	The Distribution of Smooth Numbers in Arithmetic Progressions	1992	Antal Balog Carl Pomerance
+ PDF	The distribution of smooth numbers in arithmetic progressions	1992	Antal Balog Carl Pomerance
+ PDF	On the convex hull of the integer points in a disc	1991	Antal Balog Imre Bárány
+	On mean values of Dirichlet polynomials	1991	Antal Balog Glyn Harman
+	On the convex hull of the integer points in a disc	1991	Antal Balog Imre Bárány
+	On the Convex Hull of the Integer Points	1990	Antal Balog Imre Bárány
+	On sum-intersective sets	1990	Antal Balog
+	The Prime k-Tuplets Conjecture on Average	1990	Antal Balog
+	On Arithmetic Functions Involving Consecutive Divisors	1990	Antal Balog Paul Erdös Gérald Tenenbaum
+	On additive representation of integers	1989	Antal Balog
+	Simultaneous Diophantine Approximation Using Primes	1988	Antal Balog John Friedlander
+	Exponential sums over primes in short intervals	1986	Antal Balog Alberto Perelli
+ PDF	Exponential Sums Over Primes in an Arithmetic Progression	1985	Antal Balog Alberto Perelli
+ PDF	Exponential sums over primes in an arithmetic progression	1985	Antal Balog Alberto Perelli
+ PDF	On sums over primes	1985	Antal Balog
+	On sums of sequences of integers. III	1984	Antal Balog Andràs Sárközy
+	On sums of sequences of integers. II	1984	Antal Balog Andràs Sárközy
+ PDF	On sums of sequences of integers, I	1984	Antal Balog Andràs Sárközy
+	p+a without large prime factors.	1984	Antal Balog
+	Diophantine approximation by square-free numbers	1984	Antal Balog Alberto Perelli
+	On the fractional part ofp ?	1983	Antal Balog
+	Numbers with a Large Prime Factor IV	1983	Antal Balog G. Harman J. Pintz
+	NUMBERS WITH A LARGE PRIME FACTOR III	1983	Antal Balog G. Harman J. Pintz
+	Statistical theorems about the embeddings of Abelian groups into symmetrical ones	1982	Antal Balog
+	An elementary Tauberian theorem and the prime number theorem	1981	Antal Balog
+	On a conjecture of A. Ivic and W. Schwarz.	1981	Antal Balog

Common Coauthors

Coauthor	Papers Together
András Bíró	7
Imre Z. Ruzsa	6
Trevor D. Wooley	6
Oliver Roche‐Newton	6
J. Pintz	5
Ken Ono	5
George Shakan	5
Andrew Granville	5
Alberto Perelli	5
Andràs Sárközy	5
Igor E. Shparlinski	4
Kevin Broughan	4
Gergely Harcos	4
Cécile Dartyge	4
Niko Laaksonen	3
Giacomo Cherubini	3
Dmitry Zhelezov	3
Imre Bárány	3
József Solymosi	3
Péter Maga	3
Chantal David	2
K. Soundararajan	2
Norbert Hegyvári	2
Gérald Tenenbaum	2
Carl Pomerance	2
John Friedlander	2
Csaba Sándor	2
G. Harman	2
Szilárd Gy. Révész	2
Joël Rivat	1
Jørn B. Olsson	1
Paul Erdös	1
William McGraw	1
Valentin Blomer	1
Endre Szemer�di	1
Jean-Marc Deshouillérs	1
Christine Bessenrodt	1
D. Szász	1
Jörg Brüdern	1
Alina-Carmen Cojocaru	1
Alina Carmen Cojocaru	1
Ákosné G. Horváth	1
Gyula O. H. Katona	1
Glyn Harman	1
Árpád Tóth	1
László Pyber	1
J. Pelikán	1
A Recski	1
Endre Szemerédi	1
Henri Darmon	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Bounding multiplicative energy by the sumset	2009	József Solymosi	10
+ PDF	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi	7
+	A note on sum-product estimates	2011	Antal Balog	6
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	5
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	5
+ PDF	The distribution of integers with a divisor in a given interval	2008	Kevin Ford	5
+ PDF	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	5
+	Multiplicative Number Theory	1980	H. Davenport	5
+ PDF Chat	The prime geodesic theorem	2012	K. Soundararajan Matthew P. Young	4
+ PDF	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	4
+	Prime geodesic theorem.	1984	Henryk Iwaniec	4
+ PDF Chat	Bounds for a spectral exponential sum	2018	Olga Balkanova Dmitry Frolenkov	4
+ PDF	On sums of sequences of integers, I	1984	Antal Balog Andràs Sárközy	4
+ PDF	A heuristic asymptotic formula concerning the distribution of prime numbers	1962	Paul T. Bateman Roger A. Horn	3
+	ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES	1973	Chen Jing-Run	3
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	3
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger	3
+ PDF	Unusually large gaps between consecutive primes	1990	Helmut Maier Carl Pomerance	3
+	Basic Analytic Number Theory	1993	Anatolij A. Karatsuba Melvyn B. Nathanson	3
+ PDF	On the number of sums and products	1997	György Elekes	3
+ PDF Chat	On sum sets of sets having small product set	2015	Sergei Vladimirovich Konyagin Ilya D. Shkredov	3
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao	3
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	3
+ PDF Chat	An Improved Sum–Product Inequality in Fields of Prime Order	2011	Misha Rudnev	3
+	The Hardy-Littlewood Method	1997	R. C. Vaughan	3
+	On The Number of Positive Integers ≤ x and Free of Prime Factors > y	1951	N.G. de Bruijn	3
+ PDF	A Lower Bound for the Size of a Minkowski Sum of Dilates	2010	Yahya Ould Hamidoune Juanjo Rué	3
+	On Goldbach-Vinogradov's Theorem	1947	N. Tchudakoff	3
+	Combinational properties of sets of residues modulo a prime and the Erdős—Graham problem	2006	A. A. Glibichuk	2
+	Some assertions equivalent to the prime number theorem for arithmetic progressions	1949	Harold N. Shapiro	2
+ PDF Chat	Some heuristics and results for small cycles of the discrete logarithm	2005	Joshua Holden Pieter Moree	2
+	On the Exceptional Set for Goldbach's Problem in Short Intervals	1993	Alberto Perelli J. Pintz	2
+	The Pjateckiĭ-S̆apiro prime number theorem	1983	D. R. Heath‐Brown	2
+ PDF	On Sums of Dilates	2009	Javier Cilleruelo Yahya Ould Hamidoune Oriol Serra	2
+	Entiers Sans Grand Facteur Premier En Progressions Arithmetiques	1991	Étienne Fouvry Gérald Tenenbaum	2
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	2
+	Prime Geodesic Theorem for the Picard manifold under the mean-Lindelöf hypothesis	2001	Shin-ya Koyama	2
+	Multiplicative functions on arithmetic progressions	1987	P. D. T. A. Elliott	2
+	Sum-product Estimates in Finite Fields via Kloosterman Sums	2007	Derrick Hart Alex Iosevich József Solymosi	2
+	Sums involving the values at negative integers of L-functions of quadratic characters	1975	Henri Cohen	2
+ PDF	The Selberg trace formula for the Picard group SL(2, Z[i])	1983	Janusz Szmidt	2
+	On the Erdos distinct distance problem in the plane	2010	Larry Guth Nets Hawk Katz	2
+ PDF	On divisors of sums of integers. III	1988	Carl Pomerance Andràs Sárközy C. L. Stewart	2
+	The Prime k-Tuplets Conjecture on Average	1990	Antal Balog	2
+ PDF	Zeta functions of Selberg’s type for some noncompact quotients of symmetric spaces of rank one	1980	Ramesh Gangolli Garth Warner	2
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley	2
+ PDF	Reductions of an elliptic curve with almost prime orders	2005	Alina Carmen Cojocaru	2
+	A Classical Introduction to Modern Number Theory	1982	Kenneth Ireland Michael Rosen	2
+ PDF	Pretentious multiplicative functions and an inequality for the zeta-function	2008	Andrew Granville K. Soundararajan	2
+ PDF	The arithmetic and geometry of some hyperbolic three manifolds	1983	Peter Sarnak	2