2012/03/27 by Ken-ichi Sugiyama, Sugiyama, Ken-ichi
Mathematics · #11F11 #11F67 #11F85 #11G05 #11G40 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11F67 #msc:11F85 #msc:11G05 #msc:11G40
paper · pdf · doi:10.48550/arxiv.1203.5853
18 pages
arxiv created 2012/04/02 · arxiv updated 2012/04/03
We will show a conjecture which reduces Mazur-Tate-Teitelbaum conjecture to the known cases. In order to explain its background we will develop an archimedian analog of Iwasawa theory. Moreover consequences of the conjecture which are related to Birch and Swinnerton-Dyer conjecture will be discussed.