The asymptotic normality of (s, s + 1)-cores with distinct parts

János Komlós, Emily Sergel, Gábor Tusnády

Research output: Contribution to journalArticlepeer-review


Simultaneous core partitions are important objects in algebraic combinatorics. Recently there has been interest in studying the distribution of sizes among all (s, t)-cores for coprime s and t. Zaleski (2017) gave strong evidence that when we restrict our attention to (s, s+1)-cores with distinct parts, the resulting distribution is approximately normal. We prove his conjecture by applying the Combinatorial Central Limit Theorem and mixing the resulting normal distributions.

Original languageEnglish (US)
Article numberP1.53
JournalElectronic Journal of Combinatorics
Issue number1
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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