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On zeta functions and Iwasawa modules |
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| Authors: | Jangheon Oh |
| Affiliation: | Department of Mathematics, Ohio State University, Columbus, Ohio 43210 |
| Abstract: | We study the relation between zeta-functions and Iwasawa modules. We prove that the Iwasawa modules  for almost all  determine the zeta function  when  is a totally real field. Conversely, we prove that the  -part of the Iwasawa module  is determined by its zeta-function  up to pseudo-isomorphism for any number field  Moreover, we prove that arithmetically equivalent CM fields have also the same  -invariant. |
| Keywords: | Iwasawa module zeta function $p$-adic $L$-function |
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