Shalom Eliahou

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All published works

Action	Title	Year	Authors
+	Optimal Bounds on the Growth of Iterated Sumsets in Abelian Semigroups	2025	Shalom Eliahou Eshita Mazumdar
+	A verification of Wilf's conjecture up to genus 100	2024	Manuel Delgado Shalom Eliahou Jean Fromentin
+ PDF Chat	On the Gotzmann threshold of monomials	2024	Vittoria Bonanzinga Shalom Eliahou
+	Divsets, numerical semigroups and Wilf's conjecture	2023	Shalom Eliahou
+	A verification of Wilf's conjecture up to genus 100	2023	Manuel Delgado Shalom Eliahou Jean Fromentin
+	Optimal Bounds on the Growth of Iterated Sumsets in Abelian Semigroups	2023	Shalom Eliahou Eshita Mazumdar
+ PDF Chat	The Buchweitz Set of a Numerical Semigroup	2022	Shalom Eliahou J. I. García-García D. Marín-Aragón A. Vigneron-Tenorio
+ PDF Chat	Is the Syracuse Falling Time Bounded by 12?	2022	Shalom Eliahou Jean Fromentin Rénald Simonetto
+ PDF Chat	Iterated sumsets and Hilbert functions	2021	Shalom Eliahou Eshita Mazumdar
+ PDF Chat	Some results on the Flynn–Poonen–Schaefer conjecture	2021	Shalom Eliahou Youssef Fares
+ PDF Chat	Gotzmann monomials in four variables	2021	Vittoria Bonanzinga Shalom Eliahou
+ PDF Chat	The Schur degree of additive sets	2021	Shalom Eliahou M.P. Revuelta
+ PDF Chat	On numerical semigroups with at most 12 left elements	2021	Shalom Eliahou D. Marín-Aragón
+	Is the Syracuse falling time bounded by 12?	2021	Shalom Eliahou Jean Fromentin Rénald Simonetto
+ PDF Chat	Iterated sumsets and Hilbert functions	2020	Shalom Eliahou Eshita Mazumdar
+ PDF Chat	Iterated sumsets and Hilbert functions	2020	Shalom Eliahou Eshita Mazumdar
+ PDF Chat	On numerical semigroups with at most 12 left elements	2020	Shalom Eliahou D. Marín-Aragón
+ PDF Chat	A Graph-Theoretic Approach to Wilf's Conjecture	2020	Shalom Eliahou
+ PDF Chat	Gapsets of Small Multiplicity	2020	Shalom Eliahou Jean Fromentin
+	The Buchweitz set of a numerical semigroup	2020	Shalom Eliahou J. I. García-García D. Marín-Aragón A. Vigneron-Tenorio
+	Gapsets and numerical semigroups	2019	Shalom Eliahou Jean Fromentin
+ PDF Chat	GOTZMANN MONOMIALS IN FOUR VARIABLES	2019	Vittoria Bonanzinga Shalom Eliahou
+	On a conjecture of Fox–Kleitman and additive combinatorics	2019	Sukumar Das Adhikari R. Balasubramanian Shalom Eliahou David J. Grynkiewicz
+ PDF Chat	Some results on the Flynn-Poonen-Schaefer Conjecture	2019	Shalom Eliahou Youssef Fares
+ PDF Chat	Gapsets of small multiplicity	2019	Shalom Eliahou Jean Fromentin
+	An adaptive upper bound on the Ramsey numbers $R(3,\dots,3)$	2019	Shalom Eliahou
+	ON THRESHOLDS FOR GOTZMANN MONOMIALS	2019	Vittoria Bonanzinga Shalom Eliahou
+ PDF Chat	Gapsets and numerical semigroups	2018	Shalom Eliahou Jean Fromentin
+	Monomial ideals with tiny squares	2018	Shalom Eliahou Jürgen Herzog Maryam Mohammadi Saem
+ PDF Chat	Wilf’s conjecture and Macaulay’s theorem	2018	Shalom Eliahou
+	Numerical semigroups of Szemerédi type	2018	Sukumar Das Adhikari L. Boza Shalom Eliahou M.P. Revuelta M.I. Sanz
+ PDF Chat	Near-misses in Wilf’s conjecture	2018	Shalom Eliahou Jean Fromentin
+	On the mantissa distribution of natural and prime number powers	2018	Shalom Eliahou Bruno Massé Dominique Schneider
+	Monomial ideals with tiny squares	2018	Shalom Eliahou Jürgen Herzog Maryam Mohammadi Saem
+	On the degree of regularity of a particular linear equation	2018	Sukumar Das Adhikari R. Balasubramanian Shalom Eliahou David J. Grynkiewicz
+ PDF Chat	On the degree of regularity of a certain quadratic Diophantine equation	2017	Sukumar Das Adhikari L. Boza Shalom Eliahou M.P. Revuelta M.I. Sanz
+ PDF Chat	A remarkable 20-crossing tangle	2017	Shalom Eliahou Jean Fromentin
+ PDF Chat	Near-misses in Wilf's conjecture	2017	Shalom Eliahou Jean Fromentin
+	Equation-regular sets and the Fox–Kleitman conjecture	2017	Sukumar Das Adhikari L. Boza Shalom Eliahou M.P. Revuelta M.I. Sanz
+ PDF Chat	Are Monochromatic Pythagorean Triples Unavoidable under Morphic Colorings?	2017	Shalom Eliahou Jean Fromentin Virginie Marion-Poty Denis Robilliard
+	On a Conjecture of Fox and Kleitman on the Degree of Regularity of a Certain Linear Equation	2017	Sukumar Das Adhikari Shalom Eliahou
+	On the finiteness of some <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml50" display="inline" overflow="scroll" altimg="si50.gif"><mml:mi>n</mml:mi></mml:math>-color Rado numbers	2016	Sukumar Das Adhikari L. Boza Shalom Eliahou J. M. MARIN M.P. Revuelta M.I. Sanz
+ PDF Chat	On sortable intervals of monomials	2016	Vittoria Bonanzinga Shalom Eliahou
+	Are monochromatic Pythagorean triples avoidable	2016	Shalom Eliahou Jean Fromentin Virginie Marion-Poty Denis Robilliard
+	Poonen’s conjecture and Ramsey numbers	2015	Shalom Eliahou Youssef Fares
+	On the $n$-color Rado number for the equation $x_{1}+x_{2}+ \dots +x_{k}+c =x_{k+1}$	2015	Sukumar Das Adhikari L. Boza Shalom Eliahou J. M. MARIN M.P. Revuelta M.I. Sanz
+ PDF Chat	On the number of numerical semigroups 〈a,b〉 of prime power genus	2012	Shalom Eliahou Jorge L. Ramírez Alfonsín
+	Mutually describing multisets and integer partitions	2012	Shalom Eliahou Martin Erickson
+	Matching subspaces in a field extension	2012	Shalom Eliahou Cédric Lecouvey
+	On the mantissa distribution of powers of natural and prime numbers	2012	Shalom Eliahou Bruno Massé Dominique Schneider
+ PDF Chat	Zero-sum balanced binary sequences	2012	Shalom Eliahou J. M. MARIN M.P. Revuelta
+	On the number of numerical semigroups of prime power genus	2012	Shalom Eliahou Jorge L. Ramírez Alfonsín
+ PDF Chat	On the Problem of Molluzzo for the Modulus 4	2012	Jonathan Chappelon Shalom Eliahou
+	Matching subspaces in a field extension	2012	Shalom Eliahou Cédric Lecouvey
+	Weak Schur numbers and the search for G.W. Walker’s lost partitions	2011	Shalom Eliahou J. M. MARIN M.P. Revuelta M.I. Sanz
+ PDF Chat	Two-Generator Numerical Semigroups and Fermat and Mersenne Numbers	2011	Shalom Eliahou Jorge L. Ramírez Alfonsín
+ PDF Chat	Matching subspaces in a field extension	2010	Shalom Eliahou Cédric Lecouvey
+	Michel Kervaire (1927–2007)	2010	Pierre de la Harpe Shalom Eliahou Jean-Claude Hausmann Claude Weber
+	Small Sumsets in Free Products of $$\mathbb{Z}/2\mathbb{Z}$$	2010	Shalom Eliahou Cédric Lecouvey
+ PDF Chat	Extremal binary matrices without constant 2-squares	2010	Roland Bacher Shalom Eliahou
+	Minimal sumsets in finite solvable groups	2009	Shalom Eliahou Michel Kervaire
+ PDF Chat	Signed permutations and the four color theorem	2009	Shalom Eliahou Cédric Lecouvey
+ PDF Chat	On linear versions of some addition theorems	2008	Shalom Eliahou Cédric Lecouvey
+	On the product of vector spaces in a commutative field extension	2008	Shalom Eliahou Michel Kervaire Cédric Lecouvey
+ PDF Chat	On linear versions of some addition theorems	2008	Shalom Eliahou Cédric Lecouvey
+ PDF Chat	LUNE-FREE KNOT GRAPHS	2008	Shalom Eliahou Frank Harary Louis H. Kauffman
+	BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS	2007	Shalom Eliahou Michel Kervaire
+	Matchings in arbitrary groups	2007	Shalom Eliahou Cédric Lecouvey
+	Some extensions of the Cauchy-Davenport theorem	2007	Shalom Eliahou Michel Kervaire
+	Some results on minimal sumset sizes in finite non-abelian groups	2006	Shalom Eliahou Michel Kervaire
+	The small sumsets property for solvable finite groups	2006	Shalom Eliahou Michel Kervaire
+	Zero-sum Balanced Binary Sequences	2006	Shalom Eliahou J. M. MARIN M.P. Revuelta
+	Zero-sum Balanced Binary Sequences	2006	Shalom Eliahou J. M. MARIN M.P. Revuelta
+	Matchings in arbitrary groups	2006	Shalom Eliahou Cédric Lecouvey
+	Signed permutations and the four color theorem	2006	Shalom Eliahou Cédric Lecouvey
+	A survey on modular Hadamard matrices	2005	Shalom Eliahou Michel Kervaire
+	Old and new formulas for the Hopf–Stiefel and related functions	2005	Shalom Eliahou Michel Kervaire
+	Minimal sumsets in infinite abelian groups	2005	Shalom Eliahou Michel Kervaire
+ PDF Chat	On Symmetric and Antisymmetric Balanced Binary Sequences	2005	Shalom Eliahou Delphine Hachez
+	Sumsets in dihedral groups	2005	Shalom Eliahou Michel Kervaire
+	Optimally small sumsets in finite abelian groups	2003	Shalom Eliahou Michel Kervaire Alain Plagne
+ PDF Chat	Infinite families of links with trivial Jones polynomial	2003	Shalom Eliahou Louis H. Kauffman Morwen Thistlethwaite
+	A note on the Hopf-Stiefel function	2003	Shalom Eliahou Michel Kervaire
+	Circulant 16-Modular Hadamard Matrices and Jacobi Sums	2002	Shalom Eliahou Michel Kervaire
+ PDF Chat	On systems of binomials in the ideal of a toric variety	2001	Shalom Eliahou Rafael H. Villarreal
+	Restricted sums of sets of cardinality 1+p in a vector space over Fp	2001	Shalom Eliahou Michel Kervaire
+	Signed Diagonal Flips and the Four Color Theorem	1999	Shalom Eliahou
+	On systems of binomials in the ideal of a monomial curve	1999	Shalom Eliahou Rafael H. Villarreal
+	Sumsets in Vector Spaces over Finite Fields	1998	Shalom Eliahou Michel Kervaire
+	Compressible difference lists an appendix to ‘a note on the equation	1997	Alain Eckmann Shalom Eliahou Michel Kervaire
+	Corrigendum to "Barker sequences and difference sets"	1994	Shalom Eliahou Michel Kervaire
+	The 3x+1 problem: new lower bounds on nontrivial cycle lengths	1993	Shalom Eliahou
+	Barker sequences and difference sets	1992	Shalom Eliahou Michel Kervaire
+	Minimal resolutions of some monomial ideals	1990	Shalom Eliahou Michel Kervaire
+	Symbolic powers of monomial curves	1988	Shalom Eliahou
+	A problem about polynomial ideals	1987	Shalom Eliahou
+	Idéaux de définition des courbes monomiales	1984	Shalom Eliahou

Common Coauthors

Coauthor	Papers Together
Michel Kervaire	19
Jean Fromentin	13
Cédric Lecouvey	11
M.P. Revuelta	10
Sukumar Das Adhikari	8
M.I. Sanz	6
J. M. MARIN	6
Vittoria Bonanzinga	5
L. Boza	5
Eshita Mazumdar	5
D. Marín-Aragón	4
Jorge L. Ramírez Alfonsín	3
Bruno Massé	2
Manuel Delgado	2
Jürgen Herzog	2
Youssef Fares	2
A. Vigneron-Tenorio	2
David J. Grynkiewicz	2
Denis Robilliard	2
Virginie Marion-Poty	2
Louis H. Kauffman	2
Maryam Mohammadi Saem	2
Rénald Simonetto	2
J. I. García-García	2
Rafael H. Villarreal	2
Dominique Schneider	2
R. Balasubramanian	2
Alain Eckmann	1
Jonathan Chappelon	1
Alain Plagne	1
Roland Bacher	1
Delphine Hachez	1
Youssef Fares	1
Jean-Claude Hausmann	1
Claude Weber	1
Morwen Thistlethwaite	1
Martin Erickson	1
Frank Harary	1
Pierre de la Harpe	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Diophantine Frobenius Problem	2005	Jorge L. Ramírez Alfonsín	10
+ PDF Chat	Studien zur Kombinatorik	1933	Richard Rado	10
+ PDF Chat	Fibonacci-like behavior of the number of numerical semigroups of a given genus	2007	Maria Bras-Amorós	8
+	Sumsets in Vector Spaces over Finite Fields	1998	Shalom Eliahou Michel Kervaire	8
+	Optimally small sumsets in finite abelian groups	2003	Shalom Eliahou Michel Kervaire Alain Plagne	8
+	On numerical semigroups	1986	Ralf Fröberg Christian Gottlieb Roland Häggkvist	8
+	Minimal sumsets in infinite abelian groups	2005	Shalom Eliahou Michel Kervaire	8
+	On Complexes in a Semigroup	1956	J. H. B. Kemperman	8
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson	7
+ PDF Chat	Exploring the tree of numerical semigroups	2015	Jean Fromentin Florent Hivert	7
+ PDF Chat	On a question of Eliahou and a conjecture of Wilf	2017	Manuel Delgado	7
+ PDF Chat	On a conjecture by Wilf about the Frobenius number	2015	Alessio Moscariello Alessio Sammartano	7
+	Counting numerical semigroups by genus and some cases of a question of Wilf	2011	Nathan O. Kaplan	7
+ PDF Chat	Wilf’s conjecture and Macaulay’s theorem	2018	Shalom Eliahou	6
+	Bounds on the number of numerical semigroups of a given genus	2008	Maria Bras-Amorós	6
+ PDF Chat	On the linear diophantine problem of Frobenius.	1977	Ernst S. Selmer	6
+	The small sumsets property for solvable finite groups	2006	Shalom Eliahou Michel Kervaire	6
+	On Rado's Boundedness Conjecture	2005	Jacob Fox Daniel J. Kleitman	6
+	Small Ramsey Numbers	2011	Stanisław Radziszowski	5
+	Some results on minimal sumset sizes in finite non-abelian groups	2006	Shalom Eliahou Michel Kervaire	5
+	Fibonacci-like growth of numerical semigroups of a given genus	2012	Alex Zhai	5
+ PDF Chat	Near-misses in Wilf’s conjecture	2018	Shalom Eliahou Jean Fromentin	5
+	A Generalization of an Addition Theorem of Kneser	2002	Xiang‐dong Hou Ka Hin Leung Qing Xiang	5
+	Sumsets in dihedral groups	2005	Shalom Eliahou Michel Kervaire	5
+	Sums in the grid	1996	Béla Bollobás Imre Leader	5
+ PDF Chat	Orthogonal pairings of Euclidean spaces.	1981	Sergey Yuzvinsky	5
+ PDF Chat	A Graph-Theoretic Approach to Wilf's Conjecture	2020	Shalom Eliahou	4
+	Conjecture of Wilf: A Survey	2020	Manuel Delgado	4
+	Equation-regular sets and the Fox–Kleitman conjecture	2017	Sukumar Das Adhikari L. Boza Shalom Eliahou M.P. Revuelta M.I. Sanz	4
+	Hilbert functions and lex ideals	2007	Jeffrey Mermin Irena Peeva	4
+	Some Properties of Enumeration in the Theory of Modular Systems	1927	F. S. Macaulay	4
+ PDF Chat	Numerical semigroups with large embedding dimension satisfy Wilf’s conjecture	2012	Alessio Sammartano	4
+	Numerical Semigroups	2009	J. C. Rosales Pedro A. García-Sánchez	4
+ PDF Chat	Wilf’s conjecture in fixed multiplicity	2019	Winfried Bruns Pedro A. García-Sánchez Christopher O’Neill Dane Wilburne	3
+	Upper bounds for ramsey numbers R(3, 3, ?, 3) and Schur numbers	1997	Honghui Wan	3
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog	3
+	The tree of numerical semigroups with low multiplicity	2018	Pedro A. García-Sánchez D. Marín-Aragón Aureliano M. Robles-Pérez	3
+ PDF Chat	Growth of Sumsets in Abelian Semigroups	2000	Melvyn B. Nathanson	3
+	On a Conjecture of Fox and Kleitman on the Degree of Regularity of a Certain Linear Equation	2017	Sukumar Das Adhikari Shalom Eliahou	3
+	Gapsets and numerical semigroups	2019	Shalom Eliahou Jean Fromentin	3
+ PDF Chat	Combinatorial Relations and Chromatic Graphs	1955	Robert E. Greenwood Andrew M. Gleason	3
+ PDF Chat	On linear versions of some addition theorems	2008	Shalom Eliahou Cédric Lecouvey	3
+	On the degree of regularity of some equations	1996	Arie Bialostocki Hanno Lefmann Terry Meerdink	3
+ PDF Chat	Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers	2000	Harold Fredricksen Melvin M. Sweet	3
+	Absch�tzung der asymptotischen Dichte von Summenmengen	1953	Martin Kneser	3
+	On Matchings in Groups	1998	Jozsef Losonczy	3
+ PDF Chat	Fundamental gaps in numerical semigroups	2003	J. C. Rosales Pedro A. García-Sánchez J. I. García-García J. A. Jiménez Madrid	3
+ PDF Chat	The oversemigroups of a numerical semigroup	2003	J. C. Rosales Pedro A. García-Sánchez J. I. García-García J. A. Jiménez Madrid	3
+	Ein Satz �ber abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen	1954	Martin Kneser	3
+	A Lower Bound for Schur Numbers and Multicolor Ramsey Numbers	1994	Geoffrey Exoo	3