https://github.com/jakubschwenkbeck/riemann-zeta-function

This project uses Python to create visualizations of key concepts related to the Riemann Hypothesis, with a focus on exploring the Riemann zeta function in 3D.
https://github.com/jakubschwenkbeck/riemann-zeta-function

3d python riemann riemann-hypothesis zeta-functions

Last synced: about 1 month ago
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This project uses Python to create visualizations of key concepts related to the Riemann Hypothesis, with a focus on exploring the Riemann zeta function in 3D.

• Host: GitHub
• URL: https://github.com/jakubschwenkbeck/riemann-zeta-function
• Owner: JakubSchwenkbeck
• License: mit
• Created: 2024-08-09T08:20:18.000Z (5 months ago)
• Default Branch: master
• Last Pushed: 2024-08-20T10:32:15.000Z (4 months ago)
• Last Synced: 2024-08-21T01:58:17.672Z (4 months ago)
• Topics: 3d, python, riemann, riemann-hypothesis, zeta-functions
• Language: Python
• Homepage:
• Size: 184 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Riemann Hypothesis Zeta Function Visualizer

Welcome to the **Riemann Hypothesis Zeta Function Visualizer** project! This project utilizes **Python** along with NumPy, Plotly, and PyQt5 to create an interactive graphical user interface (GUI) that visualizes various functions related to the **Riemann Hypothesis**.

## Overview

The goal of this project is to provide a visual exploration of functions associated with the Riemann Hypothesis. The application features multiple plots, including prime number counts, complex zeta functions, and Dirichlet's L-function, to help users gain insights into these mathematical concepts.

## Features

- **Prime Number Count and Approximation Functions:** Visualizes the distribution of prime numbers and various approximation functions.

- **Complex Zeta Function Visualization:** Displays the complex zeta function in a 3D grid, offering an interactive view of its behavior.

- **Dirichlet's L-Function:** Provides plots for Dirichlet's L-function with different moduli, including modulus 4.

## Example Plots

Here are some examples of what you can visualize with the application:

- **Count of Prime Numbers and Approximation Functions:**

  ![Count of Prime Numbers and Approximation Functions](https://github.com/user-attachments/assets/f0b07e59-5fd4-482d-94d2-f651c8b9e944)

- **Complex Zeta Function Displayed in a 3D Grid:**

  ![Complex Zeta Function in 3D](https://github.com/user-attachments/assets/8fc01270-d4cd-4745-b306-75ccd8c18283)

- **Dirichlet's L-Function for Modulus 4:**

  ![Dirichlet's L-Function for Modulus 4](https://github.com/user-attachments/assets/a7e98e93-c64b-4747-b23a-f921761d0fb6)