Abstract
Using elementary techniques, we prove a general transformation for theta series associated with the quadratic form \(x^2+ky^2.\) The transformation is then applied to establish several infinite families of identities involving theta series whose Fourier coefficients are interlinked.
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This research was partially supported by the NIE Academic Research Fund RI 3/12 TPC.
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Ho, T.P.N., Toh, P.C. A general transformation for theta series associated with the quadratic form \(x^2+ky^2\) . Ramanujan J 45, 695–717 (2018). https://doi.org/10.1007/s11139-017-9947-9
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DOI: https://doi.org/10.1007/s11139-017-9947-9