paper

Vanishing coefficients in several -series expansions related to the Rogers--Ramanujan continued fraction

arXiv:2003.12707

Abstract

In this paper, we investigate several infinite products with vanishing Taylor coefficients in arihmetic progressions. These infinite products are closely related to the Rogers--Ramanujan continued fraction. Moreover, a handful of new identities involving Ramanujan's parameters will be established.

17 pages