Dimitris Koukoulopoulos

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All published works

Action	Title	Year	Authors
+ PDF	A lower bound on the mean value of the Erdős–Hooley Delta function	2024	Kevin Ford Dimitris Koukoulopoulos Terence Tao
+ PDF Chat	On Arratia's coupling and the Dirichlet law for the factors of a random integer	2024	Tony Haddad Dimitris Koukoulopoulos
+ PDF Chat	An almost sharp quantitative version of the Duffin-Schaeffer conjecture	2024	Dimitris Koukoulopoulos James E. Maynard Daodao Yang
+	Rational approximations of irrational numbers	2023	Dimitris Koukoulopoulos
+ PDF	An upper bound on the mean value of the Erdős–Hooley Delta function	2023	Dimitris Koukoulopoulos Terence Tao
+ PDF Chat	On the jth smallest modulus of a covering system with distinct moduli	2023	Jonah D. Klein Dimitris Koukoulopoulos Simon Lemieux
+ PDF Chat	Irreducibility of random polynomials: general measures	2023	Lior Bary‐Soroker Dimitris Koukoulopoulos Gady Kozma
+ PDF	Equal sums in random sets and the concentration of divisors	2023	Kevin Ford Ben Green Dimitris Koukoulopoulos
+	An upper bound on the mean value of the Erdős-Hooley Delta function	2023	Dimitris Koukoulopoulos Terence Tao
+	A lower bound on the mean value of the Erdős-Hooley Delta function	2023	Kevin R. Ford Dimitris Koukoulopoulos Terence Tao
+	On the $j$-th smallest modulus of a covering system with distinct moduli	2022	Jonah D. Klein Dimitris Koukoulopoulos Simon Lemieux
+	A note on the natural density of product sets	2021	Sandro Bettin Dimitris Koukoulopoulos Carlo Sanna
+ PDF Chat	Sieve weights and their smoothings	2021	Andrew Granville Dimitris Koukoulopoulos James Maynard
+	Rational approximations of irrational numbers	2021	Dimitris Koukoulopoulos
+ PDF	On the Duffin-Schaeffer conjecture	2020	Dimitris Koukoulopoulos James Maynard
+ PDF	The structure of multiplicative functions with small partial sums	2020	Dimitris Koukoulopoulos K. Soundararajan
+	Irreducibility of random polynomials: general measures	2020	Lior Bary‐Soroker Dimitris Koukoulopoulos Gady Kozma
+	The Distribution of Prime Numbers	2019	Dimitris Koukoulopoulos
+ PDF Chat	Small gaps between primes	2019	Dimitris Koukoulopoulos
+	The Distribution of Prime Numbers	2019	Dimitris Koukoulopoulos
+	Dirichlet series	2019	Dimitris Koukoulopoulos
+	An explicit formula for counting primes	2019	Dimitris Koukoulopoulos
+	The axioms of sieve theory	2019	Dimitris Koukoulopoulos
+	Primes and multiplicative functions	2019	Dimitris Koukoulopoulos
+ PDF	Irregularities in the distribution of primes	2019	Dimitris Koukoulopoulos
+	The Riemann zeta function	2019	Dimitris Koukoulopoulos
+	The Riemann-Stieltjes integral	2019	Dimitris Koukoulopoulos
+ PDF	Fourier analysis on finite abelian groups	2019	Dimitris Koukoulopoulos
+	On the Duffin-Schaeffer conjecture	2019	Dimitris Koukoulopoulos James Maynard
+ PDF	Beyond the LSD method for the partial sums of multiplicative functions	2019	Andrew Granville Dimitris Koukoulopoulos
+	Equal sums in random sets and the concentration of divisors	2019	Kevin R. Ford Ben Green Dimitris Koukoulopoulos
+	On the Duffin-Schaeffer conjecture	2019	Dimitris Koukoulopoulos James E. Maynard
+ PDF Chat	The frequency and the structure of large character sums	2018	Jonathan Bober Leo Goldmakher Andrew Granville Dimitris Koukoulopoulos
+ PDF Chat	Sums of Euler products and statistics of elliptic curves	2016	Chantal David Dimitris Koukoulopoulos Ethan Smith
+	Sieve weights and their smoothings	2016	Andrew Granville Dimitris Koukoulopoulos James Maynard
+ PDF	Permutations contained in transitive subgroups	2016	Sean Eberhard Dimitris Koukoulopoulos Kevin Ford
+	EDITOR'S ENDNOTES	2016	Dimitris Koukoulopoulos
+	Sieve weights and their smoothings	2016	Andrew Granville Dimitris Koukoulopoulos James E. Maynard
+ PDF Chat	When the sieve works	2015	Andrew Granville Dimitris Koukoulopoulos Kaisa Matomäki
+ PDF Chat	Primes in short arithmetic progressions	2015	Dimitris Koukoulopoulos
+ PDF Chat	The Frequency of Elliptic Curve Groups over Prime Finite Fields	2015	Vorrapan Chandee Chantal David Dimitris Koukoulopoulos Ethan Smith
+	Best Possible Densities of Dickson m-Tuples, as a Consequence of Zhang–Maynard–Tao	2015	Andrew Granville Daniel M. Kane Dimitris Koukoulopoulos Robert J. Lemke Oliver
+	Analytic Number Theory	2015	Carl Pomerance Michael Th. Rassias
+	Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao	2014	Andrew Granville Daniel M. Kane Dimitris Koukoulopoulos Robert J. Lemke Oliver
+	Prime numbers in short arithmetic progressions	2014	Dimitris Koukoulopoulos
+ PDF	On the concentration of certain additive functions	2014	Dimitris Koukoulopoulos
+ PDF Chat	On multiplicative functions which are small on average	2013	Dimitris Koukoulopoulos
+ PDF Chat	Group Structures of Elliptic Curves Over Finite Fields	2013	Vorrapan Chandee Chantal David Dimitris Koukoulopoulos Ethan Smith
+ PDF	Pretentious multiplicative functions and the prime number theorem for arithmetic progressions	2013	Dimitris Koukoulopoulos
+ PDF Chat	On the number of integers in a generalized multiplication table	2012	Dimitris Koukoulopoulos
+	Arrangements of Stars on the American Flag	2012	Dimitris Koukoulopoulos Johann Thiel
+ PDF Chat	Localized factorizations of integers	2010	Dimitris Koukoulopoulos
+	Divisors of Shifted Primes	2010	Dimitris Koukoulopoulos
+ PDF	A reciprocity theorem for certain hypergeometric series	2009	Bruce C. Berndt Dimitris Koukoulopoulos

Common Coauthors

Coauthor	Papers Together
Andrew Granville	9
James Maynard	4
Terence Tao	4
Daniel M. Kane	3
Ethan Smith	3
Robert J. Lemke Oliver	3
James E. Maynard	3
Chantal David	3
Vorrapan Chandee	2
Kevin Ford	2
Lior Bary‐Soroker	2
Jonah D. Klein	2
Gady Kozma	2
Kevin R. Ford	2
Ben Green	2
Simon Lemieux	2
Kevin Ford	1
Sean Eberhard	1
Sandro Bettin	1
K. Soundararajan	1
Carlo Sanna	1
Leo Goldmakher	1
Johann Thiel	1
Jonathan Bober	1
Kaisa Matomäki	1
Bruce C. Berndt	1
Tony Haddad	1
Daodao Yang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	10
+ PDF	The distribution of integers with a divisor in a given interval	2008	Kevin Ford	9
+	Multiplicative Number Theory	1980	H. Davenport	9
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	7
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	7
+	MULTIPLICATIVE NUMBER THEORY	1970	Enrico Bombieri	6
+	The Distribution of Prime Numbers	2019	Dimitris Koukoulopoulos	6
+	Probabilistic Number Theory I	1979	P. D. T. A. Elliott	5
+ PDF Chat	On multiplicative functions which are small on average	2013	Dimitris Koukoulopoulos	5
+ PDF	Generalized Smirnov statistics and the distribution of prime factors	2007	Kevin Ford	5
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	5
+	On Bombieri's asymptotic sieve	1978	John Friedlander Henryk Iwaniec	5
+ PDF	Some remarks on number theory. II.	1967	P. Erdős	5
+ PDF	Bounded gaps between primes	2014	Zhang Yitang	5
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	5
+ PDF Chat	Localized factorizations of integers	2010	Dimitris Koukoulopoulos	5
+ PDF	The distribution of values of L(1, χ d )	2003	Andrew Granville K. Soundararajan	4
+	On a New Technique and Its Applications to the Theory of Numbers	1979	C. Hooley	4
+ PDF	Small gaps between primes	2014	James Maynard	4
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	4
+ PDF Chat	On limit points of the sequence of normalized prime gaps	2016	William D. Banks Tristan Freiberg James Maynard	3
+	On the Normal Concentration of Divisors	1985	Helmut Maier Gérald Tenenbaum	3
+ PDF	Variants of the Selberg sieve, and bounded intervals containing many primes	2014	DHJ Polymath	3
+	Number Theory in Function Fields	2002	Michael Rosen	3
+ PDF	Elementary methods in the theory of L-functions, I. Hecke's theorem	1976	J. Pintz	3
+ PDF	On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields	2012	William D. Banks Francesco Pappalardi Igor E. Shparlinski	3
+	Nonsingular plane cubic curves over finite fields	1987	René Schoof	3
+	Divisors	1988	Richard R. Hall Gérald Tenenbaum	3
+	Limitations to the Equi-Distribution of Primes I	1989	John Friedlander Andrew Granville	3
+ PDF Chat	Primes in short arithmetic progressions	2015	Dimitris Koukoulopoulos	3
+ PDF	Equal sums in random sets and the concentration of divisors	2023	Kevin Ford Ben Green Dimitris Koukoulopoulos	3
+ PDF Chat	On the number of integers in a generalized multiplication table	2012	Dimitris Koukoulopoulos	3
+	The average orders of Hooley's Δ <sub>r</sub> ‐functions	1984	R. R. Hall Gérald Tenenbaum	3
+	Die Typen der Multiplikatorenringe elliptischer Funktionenkörper	1941	Max Deuring	3
+	Some Remarks in number theory	1985	Srimeenakshi Srinivasan	3
+	A Cohen-Lenstra phenomenon for elliptic curves	2013	Chantal David Ethan Smith	3
+ PDF	Répartition des nombres superabondants	1975	P. Erdős Jean-Louis Nicolas	3
+	On the Average and Normal Orders of Hooley's Δ-Function	1982	R. R. Hall Gérald Tenenbaum	3
+ PDF	Primes in intervals of bounded length	2015	Andrew Granville	3
+ PDF	Pretentious multiplicative functions and the prime number theorem for arithmetic progressions	2013	Dimitris Koukoulopoulos	3
+ PDF	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec	2
+ PDF	The Distribution of Prime Numbers	1933	A. E. Ingham	2
+ PDF	Integers without large prime factors	1993	Adolf Hildebrand Gérald Tenenbaum	2
+ PDF	On the distribution of additive arithmetic functions	1975	Gábor Halász	2
+	A Theorem on the Densities of Sets of Integers	1945	Frank Dyson	2
+ PDF Chat	Sharp probability estimates for generalized Smirnov statistics	2008	Kevin Ford	2
+	On Random Generation of the Symmetric Group	1993	Tomasz Łuczak László Pyber	2
+ PDF	The large sieve	1973	Hugh L. Montgomery R. C. Vaughan	2
+ PDF	Decay of Mean Values of Multiplicative Functions	2003	Andrew Granville K. Soundararajan	2