The Roots of Unity for a Composite Exponent m and the Cyclotomic Field They Generate

David Hilbert

Chapter 22 in The Theory of Algebraic Number Fields, 1998, pp 167-173 from Springer

Abstract: Abstract Let m be an arbitrary positive rational integer; set Z = e 2π i/m . The m-th degree equation $${x^m} - 1 = 0$$ has the m roots $$Z,{Z^2},...,{Z^{m - 1}},{Z^m} = 1.$$

Date: 1998
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-03545-0_22

Ordering information: This item can be ordered from
http://www.springer.com/9783662035450

DOI: 10.1007/978-3-662-03545-0_22

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().