70 citations · 432 across the 60 of their papers we have counts for
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Virasoro Algebra, Dedekind -function and Specialized Macdonald's Identities
Antun Milas
We motivate and prove a series of identities which form a generalization of the Euler's pentagonal number theorem, and are closely related to specialized Macdonald's identities for…
Twisted vertex operators and Bernoulli polynomials
Benjamin Doyon, James Lepowsky, Antun Milas
Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie alge…
The Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators
Stefano Capparelli, James Lepowsky, Antun Milas
Using the theory of intertwining operators for vertex operator algebras we show that the graded dimensions of the principal subspaces associated to the standard modules for $\hat{\…
Ramanujan's "Lost Notebook" and the Virasoro Algebra
Antun Milas
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,…
Formal differential operators, vertex operator algebras and zeta--values , II
Antun Milas
We introduce certain correlation functions (graded --traces) associated to vertex operator algebras and superalgebras which we refer to as --point functions. These naturally…
Formal differential operators, vertex operator algebras and zeta--values, I
Antun Milas
We study relationships between spinor representations of certain Lie algebras and Lie superalgebras of differential operators on the circle and values of --functions at the nega…