Listar por autor "Adhikari, S. D."
Mostrando ítems 1-5 de 5
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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 ...
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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 ...
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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.
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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 ...
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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 ...