| Birch-tate Conjecture |
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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 ''K''2 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. REFERENCE
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