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Iwasawa theory and zeta elements for G_m

Research output: Contribution to journalArticlepeer-review

David John Burns, Masato Kurihara, Takamichi Sano

Original languageEnglish
Number of pages38
JournalAlgebra and Number Theory
Accepted/In press11 Mar 2017
Published7 Sep 2017


King's Authors


We develop an explicit ‘higher rank’ Iwasawa theory for zeta elements associated to the multiplicative group over abelian extensions of number fields. We show this theory leads to a concrete new strategy for proving special cases of the equivariant Tamagawa number conjecture and, as a first application of this approach, we prove new cases of the conjecture over natural families of abelian CM-extensions of totally real fields for
which the relevant p-adic L-functions possess trivial zeroes.

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