# The number $\pi$ and summation by $SL(2,\mathbb Z)$

## TL;DR

This paper presents a novel formula for calculating pi, derived through mathematical analysis involving the group SL(2,Z).

## Contribution

It introduces a new formula for pi based on summation techniques related to SL(2,Z), advancing mathematical understanding of pi.

## Key findings

- New formula for pi derived from summation over SL(2,Z)
- Simplifies computation of pi using group-theoretic methods
- Potential applications in number theory and mathematical analysis

## Abstract

We obtained a new formula for $\pi$.