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Varieties via their L-functions

Farmer, David W....

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Varieties via their L-functions by Farmer, David W. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	We describe a procedure for determining the existence, or non-existence, of an algebraic variety of a given conductor via an analytic calculation involving L-functions. The procedure assumes that the Hasse-Weil L-function of the variety satisfies its conjectured functional equation, but there is no assumption of an associated automorphic object or Galois representation. We demonstrate the method by finding the Hasse-Weil L-functions of all hyperelliptic curves of conductor less than 500.
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/1502.00850

Citation

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AMA 11th EditionReferences

Farmer, David W.. Varieties via their L-functions. Australian National University. September 07, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/24341

APA 7th EditionReferences

Farmer, David W.. (2023). Varieties via their L-functions. Australian National University. https://online.provdatabase.com/cite/24341

Chicago 17th EditionReferences

Farmer, David W.. Varieties via their L-functions. Australian National University. 2023. https://online.provdatabase.com/cite/24341

HarvardReferences

Farmer, David W.. (2023). Varieties via their L-functions. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24341. (Accessed 20 September 2024).

Harvard AustraliaReferences

Farmer, David W., 2023, Varieties via their L-functions, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/24341>

MLA 9th EditionWorks Cited

Farmer, David W.. Varieties via their L-functions. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24341.

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