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math.NT2026
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…
math.NT2026
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…
math.NT2026
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…