3 papers
math.NT2025
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…
math.NT2024
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…
math.NT2023
Deviation of the rank and crank modulo 11
Nikolay Borozenets
In this paper, we build on recent results of Frank Garvan and Rishabh Sarma as well as classical results of Bruce Berndt in order to establish the 11-dissection of the deviations o…