17 citations · 20 across the 9 of their papers we have counts for
17 papers
Vanishing coefficients in several -series expansions related to the Rogers--Ramanujan continued fraction
Shane Chern, Dazhao Tang
In this paper, we investigate several infinite products with vanishing Taylor coefficients in arihmetic progressions. These infinite products are closely related to the Rogers--Ram…
5-Dissections and sign patterns of Ramanujan's parameter and its companion
Shane Chern, Dazhao Tang
In 1998, Michael Hirschhorn discovered 5-dissections of the Rogers--Ramanujan continued fraction and its reciprocal. In this paper, we obtain the 5-dissections for functions…
Vanishing coefficients in some -series expansions
Dazhao Tang
Motivated by the recent work of Hirschhorn on vanishing coefficients of the arithmetic progressions in certain -series expansions, we study some variants of these -series and…
A lecture hall theorem for -falling partitions
Shishuo Fu, Dazhao Tang, Ae Ja Yee
For an integer , a partition is called -falling, a notion introduced by Keith, if the least nonnegative residues mod of 's form a nonincrea…
Several -series related to Ramanujan's theta functions
Dazhao Tang, Ernest. X. W. Xia
Quite recently, the first author investigated vanishing coefficients of the arithmetic progressions in several -series expansions. In this paper, we further study the signs of c…
Elementary proof of congruences modulo 25 for broken -diamond partitions
Shane Chern, Dazhao Tang
Let denote the number of -broken diamond partitions of . Quite recently, the second author proved an infinite family of congruences modulo 25 for with t…