Ernest S. Croot

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All published works

Action	Title	Year	Authors
+	Prime Graph and Its Structures	2023	Ernest S. Croot Patrick Jin
+ PDF Chat	Sets of rich lines in general position	2017	Gagik Amirkhanyan Albert Bush Ernest S. Croot Chris Pryby
+	Deterministic methods to find primes	2011	Terence Tao Ernest S. Croot H. A. Helfgott
+	Some problems in additive combinatorics & analytic number theory	2011	Ernest S. Croot
+ PDF	A combinatorial method for developing Lucas sequence identities	2008	Ernest S. Croot
+ PDF	Open problems in additive combinatorics	2007	Ernest S. Croot Vsevolod F. Lev
+ PDF Chat	On thin sets of primes expressible as sumsets	2005	Ernest S. Croot Christian Elsholtz
+	On variants of the larger sieve	2004	Ernest S. Croot Christian Elsholtz
+ PDF	On a coloring conjecture about unit fractions	2003	Ernest S. Croot
+ PDF	On non-intersecting arithmetic progressions	2003	Ernest S. Croot
+	On a coloring conjecture about unit fractions	2003	Ernest S. Croot
+	On the oscillations of multiplicative functions taking values ±1	2002	Ernest S. Croot
+	Unit Fractions and the Class Number of a Cyclotomic Field	2002	Ernest S. Croot Andrew Granville
+	None	2002	Garnet Kin‐Lic Chan Paul W. Ayers Ernest S. Croot
+ PDF	On unit fractions with denominators in short intervals	2001	Ernest S. Croot
+	Binary Egyptian Fractions	2000	Ernest S. Croot David E. Dobbs John Friedlander Andrew J. Hetzel Francesco Pappalardi
+	On some questions of Erdős and Graham about Egyptian fractions	1999	Ernest S. Croot
+	On Unit Fractions with Denominators in Short Intervals	1999	Ernest S. Croot

Common Coauthors

Coauthor	Papers Together
Christian Elsholtz	2
Andrew J. Hetzel	1
Andrew Granville	1
H. A. Helfgott	1
Paul W. Ayers	1
Chris Pryby	1
Gagik Amirkhanyan	1
Patrick Jin	1
David E. Dobbs	1
Terence Tao	1
John Friedlander	1
Garnet Kin‐Lic Chan	1
Francesco Pappalardi	1
Vsevolod F. Lev	1
Albert Bush	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Old and new problems and results in combinatorial number theory	1980	P. Erdős Ronald Graham	5
+ PDF	Unsolved Problems in Number Theory	1994	Richard K. Guy	4
+	The inverse Goldbach problem	2001	Christian Elsholtz	2
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	2
+ PDF	On sums and products of integers	1983	Péter L. Erdős Endre Szemerédi	2
+ PDF	On the number of sums and products	1997	György Elekes	2
+ PDF	The analytic principle of the large sieve	1978	Hugh L. Montgomery	2
+ PDF	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	2
+	None	2003	Yves Edel	1
+	Some diophantine equations with many solutions	1988	P. Erdős C. L. Steward R. Tijdeman	1
+	Elements of number theory	1954	Ivan Matveevich Vinogradov Saul Kravetz	1
+ PDF	Denser Egyptian fractions	2000	Greg Martin	1
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	1
+ PDF	Reconstructing Integer Sets From Their Representation Functions	2004	Vsevolod F. Lev	1
+	Lower Bounds for Least Quadratic Non-Residues	1990	S. W. Graham C. J. Ringrose	1
+	Introduction to Number Theory	2006	Richard J. Rossi	1
+	Mordell’s exponential sum estimate revisited	2005	Jean Bourgain	1
+	On Explicit Ramsey Graphs and Estimates of the Number of Sums and Products	2007	Pavel Pudlák	1
+	Multiplicative Number Theory	1980	H. Davenport	1
+	Remarks on multiplicative functions	1977	Atle Selberg	1
+ PDF Chat	Canonical and Microcanonical Calculations for Fermi Systems	2000	Scott Pratt	1
+ PDF	Lattice points on circles, squares in arithmetic progressions and sumsets of squares	2007	Javier Cilleruelo Andrew Granville	1
+	Sidon Sets in Groups and Induced Subgraphs of Cayley Graphs	1985	László Babai Vera T. Sós	1
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	1
+ PDF	A 2-Coloring of $[1,N]$ can have $(1/22)N^2+O(N)$ Monochromatic Schur Triples, but not less!	1998	Aaron Robertson Doron Zeilberger	1
+ PDF	Computing 𝜋(𝑥): the Meissel-Lehmer method	1985	Jeffrey C. Lagarias Victor S. Miller Andrew Odlyzko	1
+ PDF	Computing 𝜋(𝑥): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method	1996	Marc Deléglise Joël Rivat	1
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	1
+ PDF	On divisors of sums of integers. III	1988	Carl Pomerance Andràs Sárközy C. L. Stewart	1
+	A Note on the Large Sieve	1968	Hugh L. Montgomery	1
+	Sums and Products from a Finite Set of Real Numbers	1998	Kevin Ford	1
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau	1
+	On Number of Integers Representable as a Sum of Unit Fractions, II	1997	Hisashi Yokota	1
+	Le grand crible dans la théorie analytique des nombres	1974	Enrico Bombieri	1
+	A remark on Hofmann and Wolke's additive decompositions of the set of primes	2001	Christian Elsholtz	1
+	On linear combinatorics I. Concurrency?An algebraic approach	1997	Gy�rgy Elekes	1
+	Das asymptotische Verhalten von Summen �ber multiplikative Funktionen	1961	Eduard Wirsing	1
+	A polynomial bound in Freiman's theorem	2002	Mei-Chu Chang	1
+ PDF	On the number of partitions of a number into unequal parts	1942	Loo-Keng Hua	1
+	On Triples in Arithmetic Progression	1999	Jean Bourgain	1
+ PDF	Computing π(x): An analytic method	1987	Jeffrey C. Lagarias Andrew Odlyzko	1
+ PDF	Regularity and positional games	1963	Alfred W. Hales Robert I. Jewett	1
+	Cyclic Spaces for Grassmann Derivatives and Additive Theory	1994	J. A. Dias Da Silva Yahya Ould Hamidoune	1
+	Zeta Function Resummation of Spectral Functions	1993	Alfred Actor	1
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	1
+	Perfect Matchings in ϵ-Regular Graphs and the Blow-Up Lemma	1999	Vojtěch Rödl Andrzej Ruciński	1
+ PDF	On a problem of Diophantus	2001	Katalin Gyarmati	1
+	Extensions of a result of Elekes and Rónyai	2013	Ryan Schwartz József Solymosi Frank de Zeeuw	1
+	Multiplicative functions at consecutive integers. II	1988	Adolf Hildebrand	1
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин	1