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- Title
Asymptotics, Turán Inequalities, and the Distribution of the BG-Rank and 2-Quotient Rank of Partitions.
- Authors
Baker, Andrew; Males, Joshua
- Abstract
Let j, n be even positive integers, and let p ¯ j (n) denote the number of partitions with BG-rank j, and p ¯ j (a , b ; n) to be the number of partitions with BG-rank j and 2-quotient rank congruent to a mod b . We give asymptotics for both statistics, and show that p ¯ j (a , b ; n) is asymptotically equidistributed over the congruence classes modulo b. We also show that each of p ¯ j (n) and p ¯ j (a , b ; n) asymptotically satisfy all higher-order Turán inequalities.
- Subjects
INTEGERS; GEOMETRIC congruences; STATISTICS
- Publication
Annals of Combinatorics, 2023, Vol 27, Issue 4, p769
- ISSN
0218-0006
- Publication type
Article
- DOI
10.1007/s00026-022-00612-4