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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

  • Complex Zeta Function Displayed in a 3D Grid:

    Complex Zeta Function in 3D

  • Dirichlet's L-Function for Modulus 4:

    Dirichlet's L-Function for Modulus 4