Theta series associated with certain positive definite binary quadratic forms

Heng Huat Chan. "Theta series associated with certain positive definite binary quadratic forms." Acta Arithmetica 169.4 (2015): 331-356. <http://eudml.org/doc/279304>.

@article{HengHuatChan2015,
abstract = {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.},
author = {Heng Huat Chan},
journal = {Acta Arithmetica},
keywords = {binary quadratic forms; Lambert series; discriminants},
language = {eng},
number = {4},
pages = {331-356},
title = {Theta series associated with certain positive definite binary quadratic forms},
url = {http://eudml.org/doc/279304},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Heng Huat Chan
TI - Theta series associated with certain positive definite binary quadratic forms
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 4
SP - 331
EP - 356
AB - 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.
LA - eng
KW - binary quadratic forms; Lambert series; discriminants
UR - http://eudml.org/doc/279304
ER -