Please use this identifier to cite or link to this item:
https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6309
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rupam Barman | - |
dc.contributor.author | Gautam Kalita | - |
dc.date.accessioned | 2024-02-27T05:56:54Z | - |
dc.date.available | 2024-02-27T05:56:54Z | - |
dc.date.issued | 2015 | - |
dc.identifier.uri | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6309 | - |
dc.description.abstract | Let da��2 be an integer. Denote by Ed and E'd the hyper-elliptic curves over 𝔽q given by Ed- y2 = xd + ax + b and E'd- y2 = xd + axda��1 + b, respectively. We explicitly find the number of 𝔽q-points on Ed and E'd in terms of special values of d Fd-1 and d-1Fd-2 Gaussian hypergeometric series with characters of orders d-1, d, 2(d-1), 2d, and 2d(d-1) as parameters. This gives a solution to a problem posed by Ken Ono [17, p. 204] on special values of n+1Fn Gaussian hypergeometric series for n>2. We also show that the results of Lennon [14] and the authors [4] on trace of Frobenius of elliptic curves follow from the main results. | - |
dc.publisher | Journal of the Ramanujan Mathematical Society | - |
dc.title | Hyperelliptic Curves Over and 120125Q and Gaussian Hypergeometric Series | - |
dc.vol | Vol 30 | - |
dc.issued | No 3 | - |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
---|---|---|---|
Hyperelliptic curves over F q and Gaussian.pdf Restricted Access | 477.51 kB | Adobe PDF | View/Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.