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math.CO2020
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…
math.CO2020
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…