A general transformation for theta series associated with the quadratic form x(2) + ky(2)

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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
Author
Ho, Thi Phuong Nhi
•
Toh, Pee Choon 
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
Publisher
Springer
Journal
The Ramanujan Journal
DOI
10.1007/s11139-017-9947-9