$$ \mathcal{N} $$ = 2* Schur indices

A bstract We find closed-form expressions for the Schur indices of 4d $$ \mathcal{N} N = 2 * super Yang-Mills theory with unitary gauge groups arbitrary ranks via Fermi-gas formulation. They can be written as a sum over Young diagrams associated spectral zeta functions an ideal system. These are expressed in terms twisted Weierstrass functions, generating quasi-Jacobi forms. The lie polynomial ring generated by Kronecker theta function and which contains grand canonical ensemble allows another simple exact form infinite series. In addition, we that unflavored their limits several combinatorial objects, including triangular numbers, generalized sums divisors overpartitions.