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DC Field | Value | Language |
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dc.contributor.author | Kewat, Pramod Kumar | - |
dc.date.accessioned | 2024-02-27T05:57:04Z | - |
dc.date.available | 2024-02-27T05:57:04Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6372 | - |
dc.description.abstract | Let q be a prime power and IF q be a finite field with q elements. Let e and d be positive integers. In this paper, for d 2: 2 and q = l(mod ed(d - 1)), we calculate the number of points on an algebraic curve Ee,d : ye = xd + ax + b over a finite field IFq in terms of dFd-1 Gaussian hypergeometric series with multiplicative characters of orders d and e(d - 1 ), and in terms of d-1 Fd-2 Gaussian hypergeometric series with multiplicative characters of orders ed(d - 1) and e(d - 1). This helps us to express the trace of Frobenius endomorphism of an algebraic curve Ee,d over a finite field IF q in terms of above hypergeometric series. As applications, we obtain some transformations and special values of 2F1 hypergeometric series. | - |
dc.publisher | Journal of the Ramanujan Mathematical Society | - |
dc.title | Hypergeometric functions and algebraic curves ye = xd + ax + b | - |
dc.vol | Vol 35 | - |
dc.issued | No 3 | - |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
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Hypergeometric functions and algebraic curves ye = xd + ax + b.pdf Restricted Access | 571.61 kB | Adobe PDF | View/Open Request a copy |
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