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Journal Article

On certain series of Hecke-type

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Chan,  Heng Huat
Max Planck Institute for Mathematics, Max Planck Society;

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http://nzjm.math.auckland.ac.nz/index.php/On_Certain_Series_of_Hecke-Type
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Citation

Chan, H. H., & Liu, Z.-G. (2018). On certain series of Hecke-type. New Zealand Journal of Mathematics, 48, 1-10.


Cite as: https://hdl.handle.net/21.11116/0000-0004-A07D-B
Abstract
Around 2004, J. Lovejoy proved three Hecke-type series identities using Bailey pairs. In this article, we prove Lovejoy's identities using transformation formulas for q-series discovered by Z.G. Liu in 2013. Some new Hecke-type series are also derived. Our approach also allows us to derive some new Hecke-type identities.