Add to ORKG27 pages, 9 figuresWe 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 to the famous Andrews-Gordon identities. Our tools involve graded quotient rings, Durfee squares and rectangles for integer partitions, and $q$-series identities
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
In this article we explore some of the combinatorial consequences of recent results relating the iso...
27 pages, 9 figuresWe give a proof of a recent combinatorial conjecture due to the first author, whi...
27 pages, 9 figuresWe give a proof of a recent combinatorial conjecture due to the first author, whi...
Abstract. A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analo...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We present what we call a "motivated proof" of the Gollnitz-Gordon-Andrews identities. A s...
We introduce a technique to construct Andrews-Gordon type evidently positive series as generating fu...
The Rogers-Ramanujan identities are among the most famous in the theory of integer partitions. For m...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
Some remarkable connections between commutative algebra and combinatorics have been discovered in re...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
In this article we explore some of the combinatorial consequences of recent results relating the iso...
27 pages, 9 figuresWe give a proof of a recent combinatorial conjecture due to the first author, whi...
27 pages, 9 figuresWe give a proof of a recent combinatorial conjecture due to the first author, whi...
Abstract. A few years ago Foda, Quano, Kirillov and Warnaar proposed and proved various finite analo...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We construct Andrews–Gordon type positive series as generating functions of partitions satisfying ce...
We present what we call a "motivated proof" of the Gollnitz-Gordon-Andrews identities. A s...
We introduce a technique to construct Andrews-Gordon type evidently positive series as generating fu...
The Rogers-Ramanujan identities are among the most famous in the theory of integer partitions. For m...
We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urr...
Some remarkable connections between commutative algebra and combinatorics have been discovered in re...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
We present what we call a “motivated proof” of the Andrews–Bressoud partition identities for even mo...
In this article we explore some of the combinatorial consequences of recent results relating the iso...