2 papers
math.NT2025
Denominator identity for the affine Lie superalgebra and indefinite theta functions
Toshiki Matsusaka, Miyu Suzuki
In 1994, Kac and Wakimoto found the denominator identity for classical affine Lie superalgebras, generalizing that for affine Lie algebras. As an application, they obtained power s…
math.NT2025
Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers
Toshiki Matsusaka, Miyu Suzuki
We extend the recently developed theory of Roehrig and Zwegers on indefinite theta functions to prove certain power series are modular forms. As a consequence, we obtain several po…