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- Birch–Tate_conjecture abstract "The Birch–Tate conjecture is a conjecture in mathematics (more specifically in algebraic K-theory) proposed by both Bryan John Birch and John Tate.In algebraic K-theory, the group K2 is defined as the center of the Steinberg group of the ring of integers of a number field F. K2 is also known as the tame kernel of F. The Birch–Tate conjecture relates the order of this group (its number of elements) to the value of the Dedekind zeta function . More specifically, let F be a totally real number field and let N be the largest natural number such that the extension of F by the Nth root of unity has an elementary abelian 2-group as its Galois group. Then the conjecture states thatProgress 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 conjecture of Iwasawa theory."The problem remains unsolved as of 2011.".
- Birch–Tate_conjecture wikiPageID "7774402".
- Birch–Tate_conjecture wikiPageRevisionID "597159169".
- Birch–Tate_conjecture first "J.".
- Birch–Tate_conjecture id "Birch%E2%80%93Tate_conjecture".
- Birch–Tate_conjecture last "Hurrelbrink".
- Birch–Tate_conjecture oldid "11217".
- Birch–Tate_conjecture title "Birch–Tate conjecture".
- Birch–Tate_conjecture subject Category:Conjectures.
- Birch–Tate_conjecture subject Category:K-theory.
- Birch–Tate_conjecture comment "The Birch–Tate conjecture is a conjecture in mathematics (more specifically in algebraic K-theory) proposed by both Bryan John Birch and John Tate.In algebraic K-theory, the group K2 is defined as the center of the Steinberg group of the ring of integers of a number field F. K2 is also known as the tame kernel of F. The Birch–Tate conjecture relates the order of this group (its number of elements) to the value of the Dedekind zeta function .".
- Birch–Tate_conjecture label "Birch–Tate conjecture".
- Birch–Tate_conjecture sameAs Birch%E2%80%93Tate_conjecture.
- Birch–Tate_conjecture sameAs Q4915794.
- Birch–Tate_conjecture sameAs Q4915794.
- Birch–Tate_conjecture wasDerivedFrom Birch–Tate_conjecture?oldid=597159169.