Geodesic
Theta series associated with certain positive definite binary quadratic forms
Heng Huat Chan 1   ; Pee Choon Toh 2
1 Department of Mathematics National University of Singapore 10 Lower Kent Ridge Road Singapore 119076
2 Mathematics & Mathematics Education National Institute of Education Nanyang Technological University 1 Nanyang Walk Singapore 637616
Acta Arithmetica, Tome 169 (2015) no. 4, pp. 331-356 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Recently, P. C. Toh derived identities expressing theta series associated with fundamental idoneal discriminants in terms of generalized Lambert series. His method depends on the fact that the ring of integers of a number field is a Dedekind domain, and is not applicable to theta series associated with non-fundamental idoneal discriminants. The aim of this article is to devise methods for determining the generalized Lambert series representations of theta series associated with non-fundamental idoneal discriminants.
DOI : 10.4064/aa169-4-3
Keywords: recently toh derived identities expressing theta series associated fundamental idoneal discriminants terms generalized lambert series his method depends the ring integers number field dedekind domain applicable theta series associated non fundamental idoneal discriminants article devise methods determining generalized lambert series representations theta series associated non fundamental idoneal discriminants

Heng Huat Chan  1   ; Pee Choon Toh  2

1 Department of Mathematics National University of Singapore 10 Lower Kent Ridge Road Singapore 119076
2 Mathematics & Mathematics Education National Institute of Education Nanyang Technological University 1 Nanyang Walk Singapore 637616 
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Heng Huat Chan; Pee Choon Toh. Theta series associated with
 certain positive definite binary quadratic forms. Acta Arithmetica, Tome 169 (2015) no. 4, pp. 331-356. doi: 10.4064/aa169-4-3

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