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Displaying similar documents to “On the two-dimensional theta functions of the Borweins”

On Some Partition Functions Related to Some Mock Theta Functions

Alexander E. Patkowski (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

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We show that some partitions related to two of Ramanujan's mock theta functions are related to indefinite quadratic forms and real quadratic fields. In particular, we examine a third order mock theta function and a fifth order mock theta function.

Theta series associated with certain positive definite binary quadratic forms

Heng Huat Chan (2015)

Acta Arithmetica

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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...