On partition identities
The author's objective is to show that certain multiple series are expressible in terms of the infinite product \(\prod_{n\in J} (1-q^n)^{-1}\), where the index set \(J\) is \(\mathbb{N}\) minus values congruent with, e.g., \(0,3,12\) modulo 15. The general term of the series contains \(q\)-Pochhammer symbols. The paper may be seen as a continuation of a previous article [Indian J. Pure Appl. Math 31, No. 8, 1059-1079 (2000; Zbl 0982.33008)]; and again, one encounters lack of detail as well as a number of misprints and other typographical shortcomings. The reviewer did retrace some of the steps but he could not possibly be certain about the correctness of the whole paper.
scientific article; zbMATH DE number 1835929