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The Structure of the n-th Roots of Unity in Residue Rings of Prime Ideals P over p in Algebraic Number Fields Part III: n-th Roots of Unity when n = p
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cohen, Boaz |
| Copyright Year | 2018 |
| Abstract | In this paper we continue the study initiated in parts I and II of determining the solutions of the congruence xn ≡ 1 (mod M) over OK, where n is an arbitrary positive integer, K is an algebraic number field and M is an ideal in OK. In this part we shall determine the solutions of the special case xp b ≡ 1(modPa), where a and b are positive integers, P denotes a prime ideal in OK lying over the rational prime number p regardless of whether P‖(p) or P2 | (p). Mathematics Subject Classification: 11R04, 11Sxx, 11A07 |
| File Format | PDF HTM / HTML |
| DOI | 10.12988/imf.2017.7220 |
| Alternate Webpage(s) | http://www.m-hikari.com/imf/imf-2018/1-4-2018/p/cohenIMF1-4-2018.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
