The Power of Class Field Theory

Paulo Ribenboim
Additional contact information
Paulo Ribenboim: Jeffery Hall Queen’s University, Department of Mathematics and Statistics

Chapter Lecture IX in 13 Lectures on Fermat’s Last Theorem, 1979, pp 165-198 from Springer

Abstract: Abstract In 1912, Furtwängler used class field theory to derive two important criteria about the first case of Fermat’s last theorem. As corollaries, he then gave new proofs of the theorems of Wieferich and Mirimanoff. In this way, the methods of class field theory entered into the game.

Keywords: Prime Ideal; Galois Group; Prime Integer; Class Field Theory; Cyclotomic Field (search for similar items in EconPapers)
Date: 1979
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:978-1-4684-9342-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9781468493429

DOI: 10.1007/978-1-4684-9342-9_9

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 ().