10 citations · 21 across the 23 of their papers we have counts for
4 papers · 1 filter
A -multisum identity arising from finite chain ring probabilities
Jehanne Dousse, Robert Osburn
In this note, we prove a general identity between a -multisum and a sum of products of quotients of theta functions. The -multisum recently arose in t…
Partition identities from higher level crystals of
Jehanne Dousse, Leonard Hardiman, Isaac Konan
We study perfect crystals for the standard modules of the affine Lie algebra at all levels using the theory of multi-grounded partitions. We prove a family of partition…
New companions to the Andrews--Gordon identities motivated by commutative algebra
Pooneh Afsharijoo, Jehanne Dousse, Frédéric Jouhet +1
We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions…
Multi-grounded partitions and character formulas
Jehanne Dousse, Isaac Konan
We introduce a new generalisation of partitions, multi-grounded partitions, related to ground state paths indexed by dominant weights of Lie algebras. We use these to express chara…