Constant Terms of Coleman Power Series And Euler Systems in Function Field
Number Theory
2017-11-20 v2
Abstract
We calculate the constant term of Coleman power series and use it to prove an analogue of Iwasawa Main Conjecture in function fields of characteristic p>0 using Euler systems. This result is proved by a similar method of classical proof of Iwasawa Main Conjecture, go back to Kolyvagin and Rubin. We construct Euler systems from theta function of Drinfeld modules and establish finite-singular comparison equation even when p is not invertible the coefficients.
Keywords
Cite
@article{arxiv.1511.01766,
title = {Constant Terms of Coleman Power Series And Euler Systems in Function Field},
author = {Toshiya Seiriki},
journal= {arXiv preprint arXiv:1511.01766},
year = {2017}
}
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45 pages