Characterization of primes dividing the index of a trinomial
| dc.contributor.author | Jakhar, A. | |
| dc.contributor.author | Khanduja, S.K. | |
| dc.contributor.author | Sangwan, N. | |
| dc.date.accessioned | 2020-11-18T08:44:01Z | |
| dc.date.available | 2020-11-18T08:44:01Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | LetAKdenote the ring of algebraic integers of an algebraic number fieldK=Q(θ),whereθis a root of an irreducible trinomialF(x)=xn+axm+bbelonging toZ[x].In this paper, we give necessary and sufficient conditions involving onlya, b, m, nfor agiven primepto divide the index of the subgroupZ[θ]inAK. In particular, we deducenecessary and sufficient conditions forAKto be equal toZ[θ] | en_US |
| dc.identifier.citation | International Journal of Number Theory, 13 (10) | en_US |
| dc.identifier.other | 10.1142/S1793042117501391 | |
| dc.identifier.uri | https://www.worldscientific.com/doi/pdf/10.1142/S1793042117501391 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/1778 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | World Scientific | en_US |
| dc.subject | Rings of algebraic integers | en_US |
| dc.subject | index of an algebraic integer | en_US |
| dc.subject | power basis. | en_US |
| dc.title | Characterization of primes dividing the index of a trinomial | en_US |
| dc.type | Article | en_US |