Ramanujan's "Lost Notebook" and the Virasoro Algebra

Abstract

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.

To appear in Comm. Math. Phys

References in corpus (1)

• Modular invariance of trace functions in orbifold theory

Cited by in corpus (2)

• The intermediate vertex subalgebras of the lattice vertex operator algebras
• Eisenstein series and modular differential equations