Birch-Tate conjecture

From Wikipedia, the free encyclopedia

This article or section is in need of attention from an expert on the subject.
WikiProject Mathematics or the Mathematics Portal may be able to help recruit one.
If a more appropriate WikiProject or portal exists, please adjust this template accordingly.

The Birch-Tate conjecture is based on algebraic K-theory proposed by both Bryan John Birch and John Tate. It relates the value of a Dedekind zeta function at s = −1 to the order of K2 of the ring of integers, for a number field F.

Progress on this conjecture has been made as a consequence of work on Iwasawa theory, and in particular of the proofs given for the so-called "main theorem of Iwasawa theory."

The problem remains unsolved as of 2006.

[edit] Reference

  • J. T. Tate, Symbols in Arithmetic, Actes, Congrès Intern. Math., Nice, 1970, Tome 1, Gauthier-Villars(1971), 201–211

[edit] External link

This number theory-related article is a stub. You can help Wikipedia by expanding it.
Retrieved from "http://en.wikipedia.org../../../b/i/r/Birch-Tate_conjecture_0880.html"