## An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves

### Summary

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

### Mathematics Subject Classification

11G40, 11F85, 11G05, 11G07, 11S40, 11R23

### Keywords/Phrases

elliptic curve, $p$-adic function $L$-function, Iwasawa theory, Mazur-Tate-Teitelbaum conjecture, exceptional zero, Kato's element, Coleman map