4 citations · 8 across the 15 of their papers we have counts for
4 papers · 1 filter
Simultaneous core partitions with nontrivial common divisor
Jean-Baptiste Gramain, Rishi Nath, James A. Sellers
A tremendous amount of research has been done in the last two decades on -core partitions when and are positive integers with no common divisor. Here we change persp…
Generalized hook lengths in symbols and partitions
Christine Bessenrodt, Jorn B. Olsson, Jean-Baptiste Gramain
In this paper, we present, for any integer d, a description of the set of hooks in a d-symbol. We then introduce generalized hook length functions for a d-symbol, and prove a gener…
On bar lengths in partitions
Jean-Baptiste Gramain, Jorn B. Olsson
In this paper, we present, given a odd integer , a decomposition of the multiset of bar lengths of a bar partition as the union of two multisets, one consisting of the bar l…
On core and bar-core partitions
Jean-Baptiste Gramain, Rishi Nath
If and are relatively prime J. Olsson proved in 2008 that the -core of a -core partition is again a -core partition, and that the -bar-core of a -bar-core pa…