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      3-color Schur numbers 

      Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2019)
      Let k ≥ 3 be an integer, the Schur number Sk(3) is the least positive integer, such that for every 3-coloring of the ...
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      A general lower bound on the weak Schur number 

      Boza Prieto, Luis; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2018)
      For integers k, n with k, n ≥ 1, the n-color weak Schur number W Sk(n) is defined as the least integer N, such that for ...
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      Aprendizaje autónomo en Matemáticas Aplicadas a la Edificación: Simbiosis entre WebCT y software matemático 

      Arriola Hernández, Rosario; Barrena Algara, Eva; Chávez de Diego, María José; Delgado Garrido, Olvido; Falcón Ganfornina, Raúl Manuel; Fernández Pérez-Rendón, Antonio; Garrido Vizuete, María de los Angeles; Marín Sánchez, Juan Manuel; Navarro Domínguez, María de los Ángeles; Pérez Martín, Francisco de Paula; Revuelta Marchena, María Pastora; Riva Moreno, Yolanda de la; Sanz Domínguez, María Isabel (Sociedad Canaria Isaac Newton de Profesores de Matemáticas, 2010)
      En el presente artículo analizamos el proceso de adaptación a enseñanza virtual de las asignaturas del área de Matemática ...
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      Equation-regular sets and the Fox–Kleitman conjecture 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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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      Exact value of 3 color weak Rado number 

      Revuelta Marchena, María Pastora; Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Sanz Domínguez, María Isabel (Elsevier, 2016)
      For integers k, n, c with k, n ≥ 1 and c ≥ 0, the n color weak Rado number W Rk(n, c) is defined as the least integer N, ...
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      Exact values and lower bounds on the n-color weak Schur numbers for n = 2, 3 

      Ahmed, T.; Boza Prieto, Luis; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Springer, 2023-08-23)
      For integers k, n with k, n ≥ 1, the n-color weak Schur number WSk (n) is defined as the least integer N, such that for ...
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      Lower bounds and exact values of the 2-color off-diagonal generalized weak Schur numbers WS(2;k,k) (Brief Announcement) 

      Ahmed, T.; Boza Prieto, Luis; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Elsevier, 2023)
      In this study, we focus on the concept of the 2-color off-diagonal generalized weak Schur numbers, denoted as WS(2; k1, ...
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      Modular Schur numbers 

      Chappelon, Jonathan; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Electronic Journal of Combinatorics, 2013)
      For any positive integers l and m, a set of integers is said to be (weakly) l-sum free modulo m if it contains no (pairwise ...
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      Numerical semigroups of Szemerédi type 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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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      On the degree of regularity of a certain quadratic Diophantine equation 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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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      On the finiteness of some n-color Rado numbers 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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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      On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1 

      Boza Prieto, Luis; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (Taylor and Francis, 2019)
      For integers k, n, c with k, n ≥ 1, and c ≥ 0, the n-color weak Rado number WRk (n, c) is defined as the least integer ...
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      On the n-Color Weak Rado Numbers for the Equation x1 + x2 + ··· + xk + c = xk +1 

      Adhikari, S. D.; Boza Prieto, Luis; Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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 ...
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      Weak Schur numbers and the search for G.W. Walker’s lost partitions 

      Eliahou, Shalom; Marín Sánchez, Juan Manuel; Revuelta Marchena, María Pastora; Sanz Domínguez, María Isabel (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 ≥ ...