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On Z.-W. Sun’s disjoint congruence classes conjecture

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Combinatorial Number Theory
This chapter is in the book Combinatorial Number Theory

Chapters in this book

  1. i-iv i
  2. Preface v
  3. Contents vii
  4. On minimal colorings without monochromatic solutions to a linear equation 1
  5. Algorithms for finding and proving balanced Q2 identities 23
  6. Upper bounds for the Davenport constant 61
  7. An elementary method to compute prime densities in Fq[X] 71
  8. Further analogues of the Rogers-Ramanujan functions with applications to partitions 81
  9. On a problem of Ore 103
  10. Some problems in view of recent developments of the Erdős Ginzburg Ziv theorem 111
  11. Universal juggling cycles 121
  12. Five guidelines for partition analysis with applications to lecture hall-type theorems 131
  13. Arithmetic progressions in sparse sumsets 157
  14. Zero-sum balanced binary sequences 165
  15. Sub-Ramsey numbers for arithmetic progressions and Schur triples 179
  16. The Raleigh game 199
  17. The Sierpiński sieve of Nim-varieties and binomial coefficients 209
  18. Some of my favorite problems in Ramsey theory 229
  19. Extremal problems about asymptotic bases: a survey 237
  20. Enumeration of 3-letter patterns in compositions 243
  21. Partition regularity of matrices 265
  22. Exact enumeration of Garden of Eden partitions 299
  23. Recent progress in Ramsey theory on the integers 305
  24. Some combinatorial properties of the leaping convergents 315
  25. A characterization of lattice-ordered graphs 327
  26. On monochromatic ascending waves 333
  27. More on points and arcs 347
  28. Irreducible radical extensions and Euler-function chains 351
  29. A variant of the Frobenius problem and generalized Suzuki semigroups 363
  30. Linear quantum addition rules 371
  31. Semigroups with the Erdős-Turán property 381
  32. Partizan geography on Kn × K2 389
  33. On Z.-W. Sun’s disjoint congruence classes conjecture 403
  34. The game of Take Turn 413
  35. Graph eigenvalues and Walsh spectrum of Boolean functions 431
  36. On covering numbers 443
  37. Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard? 455
  38. List of participants 461
  39. Publications of Ron L. Graham 463
https://doi.org/10.1515/9783110925098.403

Chapters in this book

  1. i-iv i
  2. Preface v
  3. Contents vii
  4. On minimal colorings without monochromatic solutions to a linear equation 1
  5. Algorithms for finding and proving balanced Q2 identities 23
  6. Upper bounds for the Davenport constant 61
  7. An elementary method to compute prime densities in Fq[X] 71
  8. Further analogues of the Rogers-Ramanujan functions with applications to partitions 81
  9. On a problem of Ore 103
  10. Some problems in view of recent developments of the Erdős Ginzburg Ziv theorem 111
  11. Universal juggling cycles 121
  12. Five guidelines for partition analysis with applications to lecture hall-type theorems 131
  13. Arithmetic progressions in sparse sumsets 157
  14. Zero-sum balanced binary sequences 165
  15. Sub-Ramsey numbers for arithmetic progressions and Schur triples 179
  16. The Raleigh game 199
  17. The Sierpiński sieve of Nim-varieties and binomial coefficients 209
  18. Some of my favorite problems in Ramsey theory 229
  19. Extremal problems about asymptotic bases: a survey 237
  20. Enumeration of 3-letter patterns in compositions 243
  21. Partition regularity of matrices 265
  22. Exact enumeration of Garden of Eden partitions 299
  23. Recent progress in Ramsey theory on the integers 305
  24. Some combinatorial properties of the leaping convergents 315
  25. A characterization of lattice-ordered graphs 327
  26. On monochromatic ascending waves 333
  27. More on points and arcs 347
  28. Irreducible radical extensions and Euler-function chains 351
  29. A variant of the Frobenius problem and generalized Suzuki semigroups 363
  30. Linear quantum addition rules 371
  31. Semigroups with the Erdős-Turán property 381
  32. Partizan geography on Kn × K2 389
  33. On Z.-W. Sun’s disjoint congruence classes conjecture 403
  34. The game of Take Turn 413
  35. Graph eigenvalues and Walsh spectrum of Boolean functions 431
  36. On covering numbers 443
  37. Symbolic moment calculus II: Why is Ramsey theory sooooo eeeenormously hard? 455
  38. List of participants 461
  39. Publications of Ron L. Graham 463
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