5 papers
Combinatorial approach to Andrews-Gordon and Bressoud type identities
Jehanne Dousse, Frédéric Jouhet, Isaac Konan
We provide combinatorial tools inspired by work of Warnaar to give combinatorial interpretations of the sum sides of the Andrews-Gordon and Bressoud identities. More precisely, we…
On a Rogers-Ramanujan type identity from crystal base theory
Jehanne Dousse, Jeremy Lovejoy
We refine and generalise a Rogers-Ramanujan type partition identity arising from crystal base theory. Our proof uses the variant of the method of weighted words recently introduced…
A generalisation of a second partition theorem of Andrews to overpartitions
Jehanne Dousse
In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which generalise Schur's celebrated partition identity (1926). Andrews' two generalisations of…
An overpartition analogue of the -binomial coefficients
Jehanne Dousse, Byungchan Kim
We define an overpartition analogue of Gaussian polynomials (also known as -binomial coefficients) as a generating function for the number of overpartitions fitting inside the $…
A generalisation of a partition theorem of Andrews to overpartitions
Jehanne Dousse
In 1969, Andrews proved a theorem on partitions with difference conditions which generalises Schur's celebrated partition identity. In this paper, we generalise Andrews' theorem to…