6 papers
Appell function proofs of recent and old mock theta function identities
Marioni Aronia, Eric T. Mortenson
In this note we give new proofs of two recent mock theta function identities discovered by Garvan and Mukhopadhyay. We also give a new proof of an old mock theta function identity…
On odd-spin -string functions, cross-spin identities, and mock theta conjecture-like identities
Stepan Konenkov, Eric T. Mortenson
Determining the explicit forms and modularity for string functions and branching coefficients for Kac--Moody algebras after Kac, Peterson, and Wakimoto is a long-standing, yet wide…
New polar-finite forms of generalized Euler identities for -string functions and mock theta conjecture-like identities
Stepan Konenkov, Eric T. Mortenson
Determining the explicit forms and modularity for string functions and branching coefficients for Kac--Moody algebras after Kac, Peterson, and Wakimoto is an important problem. For…
Two -level mock theta conjecture-like identities
Stepan Konenkov, Eric T. Mortenson
Determining the explicit forms and modularity for string functions and branching coefficients for Kac--Moody algebras after Kac, Peterson, and Wakimoto is an important problem. In…
On string functions of the generalized parafermionic theories, mock theta functions, and false theta functions, II
Nikolay Borozenets, Eric T. Mortenson
Kac and Wakimoto introduced the admissible highest weight representations as a conjectural classification of all modular-invariant representations of the affine Kac--Moody algebras…
On string functions of the generalized parafermionic theories, mock theta functions, and false theta functions
Nikolay Borozenets, Eric T. Mortenson
Kac and Wakimoto introduced the admissible highest weight representations in order to classify all modular invariant representations of the Kac--Moody algebras. For the Kac--Moody…