38 citations · 110 across the 18 of their papers we have counts for
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A Unified Partial and Mock Theta Function
Robert C. Rhoades
Unary theta functions have played a significant role in the theory of holomorphic modular forms and modular -functions. A partial theta functions is defined analogously, but the…
Partial theta functions and mock modular forms as q-hypergeometric series
Kathrin Bringmann, Amanda Folsom, Robert C. Rhoades
Ramanujan studied the analytic properties of many -hypergeometric series. Of those, mock theta functions have been particularly intriguing, and by work of Zwegers, we now know h…
Families of Quasimodular Forms and Jacobi Forms: The Crank Statistic for Partitions
Robert C. Rhoades
Families of quasimodular forms arise naturally in many situations such as curve counting on Abelian surfaces and counting ramified covers of orbifolds. In many cases the family of…
A Maass Lifting of and Class Numbers of Real and imaginary Quadratic Fields
Robert C. Rhoades, Matthias Waldherr
We give an explicit construct of a harmonic weak Maass form that is a "lift" of , where is the classical Jacobi theta function. Just as the Fourier coefficients of $…