Advanced search

Browse by subject

Browse by provider

Browse by language

Content Details
Normal View
CIP View

The mean number of 3-torsion elements in...

Varma, Ila...

Free

Share this content

The mean number of 3-torsion elements in ray class groups of quadratic fields by Varma, Ila ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	We determine the average number of $3$-torsion elements in the ray class groups of fixed (integral) conductor $c$ of quadratic fields ordered by absolute discriminant, generalizing Davenport and Heilbronn's theorem on class groups. A consequence of this result is that a positive proportion of such ray class groups of quadratic fields have trivial 3-torsion subgroup whenever the conductor $c$ is taken to be a squarefree integer having very few prime factors none of which are congruent to $1 \bmod 3$. Additionally, we compute the second main term for the number of $3$-torsion elements in ray class groups with fixed conductor of quadratic fields with bounded discriminant.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1609.02292

Citation

Review the full bibliography data and make any necessary corrections before using. Always consult your library resources for the exact formatting and punctuation guidelines.

AMA 11th EditionReferences

Varma, Ila. The mean number of 3-torsion elements in ray class groups of quadratic fields. Australian National University. August 09, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/13992

APA 7th EditionReferences

Varma, Ila. (2023). The mean number of 3-torsion elements in ray class groups of quadratic fields. Australian National University. https://online.provdatabase.com/cite/13992

Chicago 17th EditionReferences

Varma, Ila. The mean number of 3-torsion elements in ray class groups of quadratic fields. Australian National University. 2023. https://online.provdatabase.com/cite/13992

HarvardReferences

Varma, Ila. (2023). The mean number of 3-torsion elements in ray class groups of quadratic fields. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13992. (Accessed 02 October 2025).

Harvard AustraliaReferences

Varma, Ila, 2023, The mean number of 3-torsion elements in ray class groups of quadratic fields, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/13992>

MLA 9th EditionWorks Cited

Varma, Ila. The mean number of 3-torsion elements in ray class groups of quadratic fields. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13992.

Share this eBook