**Notes**

**Zeta-regularized Functional Determinant**

**Zeta-regularized Functional Determinant**

In my undergraduate thesis, I study the zeta function technique to define and compute the trace formula and functional determinant of Laplace operator.

**On the Mazur-Tate-Teitelbaum conjecture**

**On the Mazur-Tate-Teitelbaum conjecture**

My master thesis is intended to explain the result proved by Greenberg and Stevens on the Mazur-Tate-Teitelbaum conjecture. Especially, the objective of the thesis is to develop all the necessary theory in order to understand Greenberg and Stevens' paper in detail.