https://github.com/pokhiii/riemann-hypothesis

My experiments with Riemann Hypothesis.
https://github.com/pokhiii/riemann-hypothesis

Last synced: 18 days ago
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My experiments with Riemann Hypothesis.

• Host: GitHub
• URL: https://github.com/pokhiii/riemann-hypothesis
• Owner: pokhiii
• Created: 2024-10-26T19:11:29.000Z (3 months ago)
• Default Branch: main
• Last Pushed: 2024-10-26T19:31:38.000Z (3 months ago)
• Last Synced: 2024-10-26T21:29:13.557Z (3 months ago)
• Language: Python
• Size: 1.95 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Riemann Hypothesis

This project provides a Python script that approximates the non-trivial zeros of the Riemann zeta function along the critical line, offering insights into the Riemann Hypothesis. It includes a main script to verify the initial zeros and an extended test script for further exploration.

## Getting Started

### Prerequisites

- Python 3.12 or later

- `mpmath` library for high-precision calculations

### Installation

1. Clone this repository:

   ```bash

   git clone https://github.com/pokhiii/riemann-hypothesis.git

   cd riemann-hypothesis

   ```

1. Create and activate a virtual environment:

   ```bash

   python -m venv venv

   source venv/bin/activate

   ```

1. Install dependencies:

   ```bash

   pip install -r requirements.txt

   ```

## Usage

To run the main script and see the first 20 zeros of the zeta function on the critical line:

```bash

python main.py

```

To conduct an extended test, which evaluates additional points along the critical line, you can run:

```bash

python test.py

```