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Several q-series related to Ramanujan’s theta functions
Quite recently, the first author investigated vanishing coefficients of the arithmetic progressions in several q -series expansions. In this paper, we further study the signs of coefficients in two q -series expansions and establish some interlinked identities for several q -series expansions by mea...
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Published in: | The Ramanujan journal 2020-12, Vol.53 (3), p.705-724 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Quite recently, the first author investigated vanishing coefficients of the arithmetic progressions in several
q
-series expansions. In this paper, we further study the signs of coefficients in two
q
-series expansions and establish some interlinked identities for several
q
-series expansions by means of Ramanujan’s theta functions. We obtain the 5-dissections of these two
q
-series and give combinatorial interpretations for these dissections. Moreover, we obtain four
q
-series identities involving the aforementioned
q
-series, two of which were proved by Kim and Toh via modular forms. |
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ISSN: | 1382-4090 1572-9303 |
DOI: | 10.1007/s11139-019-00187-4 |