Theta series associated with certain positive definite binary quadratic forms

• Autorzy: Heng Huat Chan
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11R29: Class numbers, class groups, discriminants
• 11E16: General binary quadratic forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 169
• Numer: 4
• Strony: 331-356

Daty

wydano

2015

Twórcy

autor

Heng Huat Chan

• Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore 119076

Identyfikatory

DOI

10.4064/aa169-4-3