An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves

We give an elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves by using Kato's element.

2000 Mathematics Subject Classification: 11F85, 11G05, 11G07, 11G40, 11S40.

Keywords and Phrases: elliptic curves, $p$-adic $L$-functions, Iwasawa theory, the Mazur-Tate-Teitelbaum conjecture, exceptional zeros, Kato's element.

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