117 citations · 201 across the 56 of their papers we have counts for
8 papers · 2 filters
On a relation between certain -hypergeometric series and Maass waveforms
Matthew Krauel, Larry Rolen, Michael Woodbury
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of -series related to the -hypergeometric series from Ramanajun's lost notebook. Our results…
Identities for generalized Appell functions and the blow-up formula
Kathrin Bringmann, Jan Manschot, Larry Rolen
In this paper, we prove identities for a class of generalized Appell functions which are based on the root lattice. The identities are reminiscent of periodici…
On -core towers and -defects of partitions
Larry Rolen
We study generating functions which count the sizes of -cores of partitions, and, more generally, the sizes of higher rows in -core towers. We then use these results to deriv…
On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds
Kathrin Bringmann, Larry Rolen, Sander Zwegers
In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov-Witten potentials of elliptic orbifolds. They derived…
A new construction of Eisenstein's completion of the Weierstrass zeta function
Larry Rolen
In the theory of elliptic functions and elliptic curves, the Weierstrass function (which is essentially an antiderivative of the Weierstrass function) plays a prominen…
Lacunary recurrences for Eisenstein series
Michael H. Mertens, Larry Rolen
Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.
On the Fourier coefficients of negative index meromorphic Jacobi forms
Kathrin Bringmann, Larry Rolen, Sander Zwegers
In this paper, we consider the Fourier coefficients of meromorphic Jacobi forms of negative index. This extends recent work of Creutzig and the first two authors for the special ca…
On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono
Michael H. Mertens, Larry Rolen
Recently, Bruinier and Ono found an algebraic formula for the partition function in terms of traces of singular moduli of a certain non-holomorphic modular function. In this paper…