منابع مشابه
Andrews Style Partition Identities
We propose a method to construct a variety of partition identities at once. The main application is an all-moduli generalization of some of Andrews’ results in [5]. The novelty is that the method constructs solutions to functional equations which are satisfied by the generating functions. In contrast, the conventional approach is to show that a variant of well-known series satisfies the system ...
متن کاملBinomial Andrews-gordon-bressoud Identities
Binomial versions of the Andrews-Gordon-Bressoud identities are given.
متن کاملVariants of the Andrews-gordon Identities
The object of this paper is to propose and prove a new generalization of the Andrews-Gordon Identities, extending a recent result of Garrett, Ismail and Stanton. We also give a combinatorial discussion of the finite form of their result which appeared in the work of Andrews, Knopfmacher, and Paule.
متن کاملAndrews-gordon Type Identities from Combinations of Virasoro Characters
Abstract. For p ∈ {3, 4} and all p > p, with p coprime to p, we obtain fermionic expressions for the combination χ ′ 1,s + q χ p,p p−1,s of Virasoro (W2) characters for various values of s, and particular choices of ∆. Equating these expressions with known product expressions, we obtain q-series identities which are akin to the Andrews-Gordon identities. For p = 3, these identities were conject...
متن کاملAndrews-gordon Identities from Combinations of Virasoro Characters
For p ∈ {3, 4} and p > p with p coprime to p, we obtain both fermionic (sum) and product forms for the combination χp,p ′ 1,s + q∆χp,p ′ p−1,s of Virasoro characters for various s, and particular ∆. By equating these two forms, we obtain an identity of Rogers-Ramanujan-type in each case. In the p = 3 case, these identities were conjectured by Bytsko. Their fermionic sides are notable in that ea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Research in Number Theory
سال: 2015
ISSN: 2363-9555
DOI: 10.1007/s40993-015-0014-6