Abstract
In this article, we obtain some new modular equations involving \(k(q) = \chi (q) \chi (-q^2)\) which is a special case of general continued fraction in Ramanujan’s lost notebook. Also, we obtain 2 and 4-dissection of k(q) and record some applications to partitions.
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The authors would like to thank the anonymous referee for the valuable comments and suggestions, which helped us to improve the quality of this manuscript.
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Communicated by Julio Andrade.
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Guruprasad, P.S., Dharmendra, B.N. On the Ramanujan-type function \(k(q) = \chi (q) \chi (-q^2)\). São Paulo J. Math. Sci. 17, 806–816 (2023). https://doi.org/10.1007/s40863-022-00316-w
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DOI: https://doi.org/10.1007/s40863-022-00316-w