BIASES IN INTEGER PARTITIONS
- 14 January 2021
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 104 (2) , 177-186
Abstract
We show that there are biases in the number of appearances of the parts in two residue classes in the set of ordinary partitions. More precisely, let be the number of partitions of n such that there are more parts congruent to j modulo m than parts congruent to k modulo m for . We prove that is in general larger than . We also obtain asymptotic formulas for and for .Keywords
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