A Stanley–Elder theorem on Cranks and Frobenius symbols

George E. Andrews, Manosij G. Dastidar, Thomas Morrill

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The Stanley–Elder theorem asserts that the number of j’s in the partitions of n is equal to the number of parts that appear at least j times in a given partition of n, summed over all partitions of n. In this paper, we prove that the number of partitions of n with crank > j equals to half the total number of j’s in the Frobenius symbols for n.

Original languageEnglish (US)
Article number56
JournalResearch in Number Theory
Issue number3
StatePublished - Sep 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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