A BURGE TREE OF VIRASORO-TYPE POLYNOMIAL IDENTITIES
نویسندگان
چکیده
منابع مشابه
The Abel-Type Polynomial Identities
The Abel identity is (x + y) = n ∑ i=0 ( n i ) x(x − iz)i−1(y + iz)n−i, where x, y and z are real numbers. In this paper we deduce several polynomials expansions, referred to as Abel-type identities, by using Foata’s method, and also show some of their applications.
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 کاملNew identities between unitary minimal Virasoro characters
Two sets of identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are presented and proven. The first identity suggests a connection between the Ising and the tricritical Ising models since the m = 3 Virasoro characters are obtained as bilinears of m = 4 Virasoro characters. The second identity gives the tricritical Ising model characters as bilinears in the Ising model c...
متن کاملVirasoro character identities and Artin L - functions
Some identities between unitary minimal Virasoro characters at levels m = 3, 4, 5 are shown to arise as a consequence of relations between Artin L-functions of different quadratic fields. The definitions and concepts of number theory necessary to present the theta function identities which can be derived from these relations are introduced. A new infinite family of identities between Virasoro c...
متن کاملPolynomial Generalizations of Two-Variable Ramanujan Type Identities
We provide finite analogs of a pair of two-variable q-series identities from Ramanujan’s lost notebook and a companion identity. “The progress of mathematics can be viewed as progress from the infinite to the finite.” —Gian-Carlo Rota (1983)
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: International Journal of Modern Physics A
سال: 1998
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x98002328