1 citations · 1 across the 7 of their papers we have counts for
7 papers · 1 filter
Representations of integers as sums of four polygonal numbers and partial theta functions
Kathrin Bringmann, Min-Joo Jang, Ben Kane +1
In this paper, we consider representations of integers as sums of at most four distinct -gonal numbers (allowing a fixed number of repeats of each polygonal number occurring in…
Interesting identities involving weighted representations of integers as sums of arbitrarily many squares
Min-Joo Jang, Ben Kane, Winfried Kohnen +1
In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural we…
Quantum modular forms and singular combinatorial series with repeated roots of unity
Amanda Folsom, Min-Joo Jang, Sam Kimport +1
In 2007, G.E. Andrews introduced the -variable combinatorial generating function for ranks of -marked Durfee symbols, an -dimensional m…
Quantum modular forms and singular combinatorial series with distinct roots of unity
Amanda Folsom, Min-Joo Jang, Sam Kimport +1
Understanding the relationship between mock modular forms and quantum modular forms is a problem of current interest. Both mock and quantum modular forms exhibit modular-like trans…
Asymptotic behavior of odd-even partitions
Min-Joo Jang
Andrews studied a function which appears in Ramanujan's identities. In Ramanujan's "Lost" Notebook, there are several formulas involving this function, but they are not as simple a…
On spt-crank type functions
Min-Joo Jang, Byungchan Kim
In a recent paper, Andrews, Dixit, and Yee introduced a new spt-type function , which is closely related to Ramanujan's third order mock theta function $ω(…
Radial Limits of the Universal Mock Theta Function
Min-Joo Jang, Steffen Löbrich
Referring to Ramanujan's original definition of a mock theta function, Rhoades asked for explicit formulas for radial limits of the universal mock theta functions and .…