Multiple series Rogers-Ramanujan type identities
نویسندگان
چکیده
منابع مشابه
Finite Rogers-Ramanujan Type Identities
Polynomial generalizations of all 130 of the identities in Slater’s list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free do...
متن کاملRogers-ramanujan Type Identities for Alternating Knots
We highlight the role of q-series techniques in proving identities arising from knot theory. In particular, we prove Rogers-Ramanujan type identities for alternating knots as conjectured by Garoufalidis, Lê and Zagier.
متن کاملSome Crystal Rogers-ramanujan Type Identities
Abstract. By using the KMN2 crystal base character formula for the basic A (1) 2 module, and the principally specialized Weyl-Kac character formula, we obtain a Rogers-Ramanujan type combinatorial identity for colored partitions. The difference conditions between parts are given by the energy function of certain perfect A (1) 2 crystal. We also recall some other identities for this type of colo...
متن کاملNew Finite Rogers-Ramanujan Identities
We present two general finite extensions for each of the two Rogers-Ramanujan identities. Of these one can be derived directly from Watson’s transformation formula by specialization or through Bailey’s method, the second similar formula can be proved either by using the first formula and the q-Gosper algorithm, or through the so-called Bailey lattice.
متن کاملSome More Identities of the Rogers-ramanujan Type
In this we paper we prove several new identities of the RogersRamanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including constant-term methods, Bailey pairs, a theorem of Watson on basic hypergeometric series and the method of q-difference equations.
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: Pacific Journal of Mathematics
سال: 1984
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1984.114.267