Listar por autor "Eliahou, Shalom"
Mostrando ítems 1-8 de 8
-
Artículo
Equation-regular sets and the Fox–Kleitman conjecture
(Elsevier, 2018)Given k ≥ 1, the Fox–Kleitman conjecture from 2006 states that there exists a nonzero integer b such that the 2k-variable ...
-
Artículo
Numerical semigroups of Szemerédi type
(Elsevier, 2019)Given any length k ≥ 3 and density 0 < δ ≤ 1, we introduce and study the set Sz(k, δ) consisting of all positive integers ...
-
Artículo
On the degree of regularity of a certain quadratic Diophantine equation
(Elsevier, 2018)We show that, for every positive integer r, there exists an integer b = b(r) such that the 4-variable quadratic Diophantine equation (x1 − y1)(x2 − y2) = b is r-regular. Our proof uses Szemerédi’s theorem on arithmetic progressions.
-
Artículo
On the finiteness of some n-color Rado numbers
(Elsevier, 2017)For integers k, n, c with k, n ≥ 1, the n-color Rado number Rk(n, c) is defined to be the least integer N if any, or ...
-
Artículo
On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1
(American Mathematical Society, 2016)For integers k, n, c with k, n ≥ 1, the n-color Rado number Rk(n, c) is defined to be the least integer N, if it exists ...
-
Artículo
The Schur degree of additive sets
(Elsevier, 2021-05)Let (G, +) be an abelian group. A subset of G is sumfree if it contains no elements x, y, z such that x+y = z. We extend ...
-
Artículo
Weak Schur numbers and the search for G.W. Walker’s lost partitions
(Elsevier, 2012)A set A of integers is weakly sum-free if it contains no three distinct elements x, y, z such that x + y = z. Given k ≥ ...
-
Artículo
Zero-sum balanced binary sequences
(University of West Georgia, 2007)F whic or h ev is ery p balanced, ositive in i.e., teger whose n ≡ 0 asso mod ciated 4, we Steinhaus construct ...