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AN ELEMENTARY PROOF OF THE d-TH POWER RECIPROCITY LAW OVER FUNCTION FIELDS
| Content Provider | Semantic Scholar |
|---|---|
| Author | Blaszczok, Anna |
| Copyright Year | 2011 |
| Abstract | This paper generalises the proof of quadratic reciprocity law in Fq(T) presented by Chun-Gang Ji and Yan Xue (2) to the case of d-th power residues, where d divides the order of F q . Using only elementary properties of finite fields and basic number-theoretic tools we show that if P,Q2 Fq(T) are distinct irreducible polynomials then P Q d = ( 1) q 1 d deg(P)deg(Q) Q P d , |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.sbc.org.pl/Content/67325/49-57.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |