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  • Research Article
  • 10.2140/moscow.2023.12.297
On logarithmic asymptotics for the number of restricted partitions in the exponential case
  • Dec 31, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Murat V Vakhitov + 1 more

  • Research Article
  • 10.2140/moscow.2023.12.273
On asymptotic local Turán problems
  • Dec 8, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Peter Frankl + 1 more

  • Open Access Icon
  • Research Article
  • 10.2140/moscow.2023.12.287
On moments of gaps between consecutive square-free numbers
  • Dec 8, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Tsz Ho Chan

Let s1, s2, s3, • • • be the set of squarefree numbers in ascending order. In this paper, we prove that the following asymptotic on moments of gaps between squarefree numbers x with some constant B(γ) > 0 is true for 0 ≤ γ < 3.75. This improves the previous best range 0 ≤ γ < 3.6875.

  • Research Article
  • 10.2140/moscow.2023.12.259
On Furstenberg’s Diophantine result
  • Dec 8, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Dmitry Gayfulin + 1 more

  • Research Article
  • 10.2140/moscow.2023.12.181
Ramsey properties for integer sequences with restricted gaps
  • Sep 23, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Bruce M Landman + 2 more

  • Research Article
  • 10.2140/moscow.2023.12.241
On a sum involving squarefull numbers, II
  • Sep 23, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Isao Kiuchi

  • Research Article
  • Cite Count Icon 1
  • 10.2140/moscow.2023.12.247
Chromatic number of a line with geometric progressions of forbidden distances and the complexity of recognizing distance graphs
  • Sep 23, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Georgy Sokolov

  • Research Article
  • Cite Count Icon 2
  • 10.2140/moscow.2023.12.223
Borsuk’s problem, Boltyanski’s illumination problem, and circumradius
  • Sep 23, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Arthur Bikeev

  • Research Article
  • 10.2140/moscow.2023.12.197
On families with bounded matching number
  • Sep 23, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Peter Frankl + 1 more

  • Research Article
  • 10.2140/moscow.2023.12.127
Integer sequences without singleton intersection
  • Jun 4, 2023
  • Moscow Journal of Combinatorics and Number Theory
  • Péter Frankl + 1 more