Found 165 Documents (Results 1–100)
On the minimum number of monochromatic 2-dimensional Schur triples. (English) Zbl 07860864
MSC:
11B30
Large sum-free sets in \(\mathbb{Z}_5^n\). (English) Zbl 1540.11019
Reviewer: Subha Sarkar (Jamshedpur)
New bounds on diffsequences. (English) Zbl 07825863
The asymptotics of \(r(4,t)\). (English) Zbl 1533.05273
A note on the largest sum-free sets of integers. (English) Zbl 1537.11019
Reviewer: Jiangtao Peng (Tianjin)
Exact values and lower bounds on the \(n\)-color weak Schur numbers for \(n=2,3\). (English) Zbl 1521.05111
On the partition regularity of \(ax+by = cw^mz^n\). (English) Zbl 1530.11013
Reviewer: Bedanta Bose (Kolkata)
On improving a Schur-type theorem in shifted primes. (English) Zbl 1524.11181
Reviewer: Olivier Ramaré (Marseille)
Towards characterizing the 2-Ramsey equations of the form \(ax + by = p(z)\). (English) Zbl 1518.05192
Shape of the asymptotic maximum sum-free sets in integer lattice grids. (English) Zbl 1517.11023
Reviewer: Weidong Gao (Tianjin)
New proofs for the disjunctive Rado number of the equations \(x_1-x_2=a\) and \(x_1-x_2=b\). (English) Zbl 1484.05140
Two-color Rado number of \(x + y + c = kz\) for odd \(c\) and \(k\) with \(k \geq c + 6\). (English) Zbl 1480.05127
Rado equations solved by linear combinations of idempotent ultrafilters. (English) Zbl 1510.05286
Reviewer: Lorenz Halbeisen (Zurich)
Bounded \(VC\)-dimension implies the Schur-Erdős conjecture. (English) Zbl 1499.05606
Reviewer: Ko-Wei Lih (Taipei)
A Diophantine Ramsey theorem. (English) Zbl 1499.05607
Reviewer: Ko-Wei Lih (Taipei)
MSC:
05D10
New lower bounds for weak Schur partitions. (English) Zbl 1480.11015
Reviewer: Mircea Merca (Cornu de Jos)
Rado’s criterion over squares and higher powers. (English) Zbl 1497.11028
Reviewer: Kaisa Matomäki (Turku)
Fermat’s last theorem implies Euclid’s infinitude of primes. (English) Zbl 1467.11008
Reviewer: Balasubramanian Sury (Bangalore)
Exact lower bounds for monochromatic Schur triples and generalizations. (English) Zbl 07293167
Pillwein, Veronika (ed.) et al., Algorithmic combinatorics: enumerative combinatorics, special functions and computer algebra. Proceedings of the workshop on combinatorics, special functions and computer algebra (Paule60), Research Institute of Symbolic Computation (RISC), Hagenberg, Austria, May 17–18, 2018. In honour of Peter Paule on his 60th birthday. Cham: Springer. Texts Monogr. Symb. Comput., 223-248 (2020).
MSC:
68W30
Rado numbers of regular nonhomogeneous equations. (English) Zbl 1463.05531
MSC:
05D10
On the interplay between additive and multiplicative largeness and its combinatorial applications. (English) Zbl 1433.05313
Semi-algebraic colorings of complete graphs. (English) Zbl 07559236
Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 36, 12 p. (2019).
MSC:
68U05
Nonstandard characterisations of tensor products and monads in the theory of ultrafilters. (English) Zbl 1521.03257
On the \(n\)-color weak Rado numbers for the equation \(x_1+x_2+\cdots +x_k+c=x_{k+1}\). (English) Zbl 1415.05114
3-color Schur numbers. (English) Zbl 1414.05038
Independent sets in hypergraphs and Ramsey properties of graphs and the integers. (English) Zbl 1403.05094
Some nonlinear Rado numbers. (English) Zbl 1416.05189
Image partition regularity of matrices whose entries are homomorphisms. (English) Zbl 1407.05018
MSC:
05A18
Symmetric complete sum-free sets in cyclic groups. (English) Zbl 1465.11050
Reviewer: Jean-Marc Deshouillers (Bordeaux)
A general lower bound on the weak Schur number. (English) Zbl 1437.11039
Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electron. Notes Discrete Math. 68, 137-142 (2018).
MSC:
11B75
The minimal number of monochromatic Schur tuples in a cyclic group. (English) Zbl 1393.05260
MSC:
05D10
Dioid partitions of groups. (English) Zbl 1475.20051
Maximum number of sum-free colorings in finite abelian groups. (English) Zbl 1402.05210
Reviewer: Sandor Kiss (Budapest)
Hilbert’s proof of his irreducibility theorem. (English) Zbl 1458.12002
Reviewer: Manouchehr Misaghian (Prairie View)
Measure preserving actions of affine semigroups and \(\{x+y,xy\}\) patterns. (English) Zbl 1427.37001
Reviewer: Małgorzata E. Hryniewicka (Białystok)
Sharp thresholds for Ramsey properties of strictly balanced nearly bipartite graphs. (English) Zbl 1378.05128
Mini-workshop: Interplay between number theory and analysis for Dirichlet series. Abstracts from the mini-workshop held October 29 – November 4, 2017. (English) Zbl 1409.00067
Symmetric complete sum-free sets in cyclic groups. (English) Zbl 1404.11009
Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 585-591 (2017).
Ergodic theorem involving additive and multiplicative groups of a field and \(\{x+y,xy\}\) patterns. (English) Zbl 1367.37002
New polynomial and multidimensional extensions of classical partition results. (English) Zbl 1352.05023
MSC:
05A18
Higher-order Fourier analysis of multiplicative functions and applications. (English) Zbl 1355.11094
Reviewer: József Sándor (Cluj-Napoca)
Exact value of 3 color weak Rado number. (English) Zbl 1356.05014
de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 241-245 (2016).
Enumerating solution-free sets in the integers. (English) Zbl 1355.05187
Korpelainen, Nicholas (ed.), TCDM 2016. Proceedings of the 1st IMA conference on theoretical and computational discrete mathematics, University of Derby, Derby, UK, March 22–23, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 56, 21-30 (2016).
Solving and verifying the Boolean Pythagorean triples problem via cube-and-conquer. (English) Zbl 1403.68226
Creignou, Nadia (ed.) et al., Theory and applications of satisfiability testing – SAT 2016. 19th international conference, Bordeaux, France, July 5–8, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-40969-6/pbk; 978-3-319-40970-2/ebook). Lecture Notes in Computer Science 9710, 228-245 (2016).
On the \(n\)-color Rado number for the equation \(x_{1}+x_{2}+\cdots +x_{k}+c =x_{k+1}\). (English) Zbl 1332.05011
Semi-algebraic Ramsey numbers. (English) Zbl 1327.05331
MSC:
05D10
The sharp threshold for maximum-size sum-free subsets in even-order abelian groups. (English) Zbl 1372.11030
Colourful categories. (English. Russian original) Zbl 1329.05206
Russ. Math. Surv. 70, No. 4, 591-655 (2015); translation from Usp. Mat. Nauk 70, No. 4, 3-76 (2015).
Extensions of infinite partition regular systems. (English) Zbl 1325.05175
MSC:
05D10
Two formulas of 2-color off-diagonal Rado numbers. (English) Zbl 1308.05101
Reviewer: Sandor Kiss (Budapest)
Random sum-free subsets of abelian groups. (English) Zbl 1370.11040
Reviewer: Sandor Kiss (Budapest)
A characterization of elementary abelian 2-groups. (English) Zbl 1330.11015
Reviewer: Grigore Călugăreanu (Cluj-Napoca)
Multiply partition regular matrices. (English) Zbl 1283.05049
MSC:
05B20
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