Ramanujan's "Lost Notebook" and the Virasoro Algebra

Details Ramanujan's "Lost Notebook" and the Virasoro Algebra Ramanujan's "Lost Notebook" and the Virasoro Algebra

2003-09-11

arxiv.org/abs/math/0309201v3

Commun.Math.Phys. 251 (2004) 567-588

Mathematics

Quantum Algebra

To appear in Comm. Math. Phys

Scientific paper

10.1007/s00220-004-1179-3

By using the theory of vertex operator algebras, we gave a new proof of the
famous Ramanujan's modulus 5 modular equation from his "Lost Notebook" (p.139
in \cite{R}). Furthermore, we obtained an infinite list of $q$-identities for
all odd moduli; thus, we generalized the result of Ramanujan.

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