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math.NT2026
Some convolution identities for mock modular forms arising from the theory of holomorphic projection
Jonathan G. Bradley-Thrush, Frank Garvan, Jayashree Kalita +1
Convolution identities and recursive formulas have long played a role in the theory of holomorphic modular forms and their applications. These have served both as striking formulas…
math.NT2026
2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
Frank Garvan, Hemjyoti Nath
In this paper, we develop a systematic method for obtaining and proving -dissections of mock theta functions. In 2014, Hickerson and Mortenson showed how to derive and prove ide…