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A general transformation for theta series associated with the quadratic form x(2) + ky(2)
Citation
Ho, T. P. N., & Toh, P. C. (2018). A general transformation for theta series associated with the quadratic form x(2) + ky(2). The Ramanujan Journal, 45(3), 695-717. https://doi.org/10.1007/s11139-017-9947-9
Abstract
Using elementary techniques, we prove a general transformation for theta series associated with the quadratic form x2 +ky2. The transformation is then applied to establish several infinite families of identities involving
theta series whose Fourier coeffi cients are interlinked.
Date Issued
2018
DOI
10.1007/s11139-017-9947-9
Description
This is the final draft, after peer-review, of a manuscript published in The Ramanujan Journal. The published version is available online at https://doi.org/10.1007/s11139-017-9947-9