M. Wakimoto

activity

19942025

most citedQuantum Reduction for Affine Superalgebras

236 citations · 410 across the 37 of their papers we have counts for

collaborators

Showing 2022Show all

6 papers · 1 filter

math.NT2022

Mock theta functions and indefinite modular forms II

Minoru Wakimoto

In this paper, we compute the Zwegers's modification of the mock theta functions $Φ^{[m, 0] *}$ and study the modular transformation properties of the indefinite modular forms…

math.RT2022

Mock theta functions and characters of N=3 superconformal modules IV

Minoru Wakimoto

In this paper we obtain explicit formulas for mock theta functions $Φ^{[m, s]} (τ, z_{1}, z_{2}, t)$ $(m \in \frac{1}{2} N, s \in \frac{1}{2} Z)$ by using the coroot lattice of…

math.RT2022

Mock theta functions and characters of N=3 superconformal modules III

Minoru Wakimoto

In this paper we study the branching functions of tensor products of N=3 superconformal modules.

math.NT2022

Mock theta functions and indefinite modular forms

Minoru Wakimoto

In the explicit formula for the signed mock theta functions $Φ^{(-) [m, s]}$ obtained from the coroot lattice of $D (2, 1; a)$ , functions with indefinite quadratic forms naturally take…

math.RT2022

Mock theta functions and characters of N=3 superconformal modules II

Minoru Wakimoto

We obtain an explicit formula for the mock theta function $Φ^{[m, s]}$ in the case when either $m$ or $s$ is a half of an odd integer by using the coroot lattice of $D (2, 1; a)$ . This…

math.RT2022

Mock theta functions and characters of N=3 superconformal modules

Minoru Wakimoto

In this paper we study the characters of N=3 superconformal modules by using the Zwegers' theory on modification of mock theta functions.