Number theory: primes, arithmetic functions, modular computations, special sequences

An interactive for visualizing complex functions based on a 3Blue1Brown video and also estimation of Riemann Zeta Function using Euler Maclaurin Summation.

This repository contains an MPI program written in C that calculates the Riemann zeta function and evaluates its performance using MPI collective communication functions. The program approximates the value of ζ(3) with a given value of `s` (3 - Apéry's constant). It calculates the runtime, speedup, and efficiency for different numbers of processes.

This is my repo of various prime number plots and experiments.

Modular Spectrum of Pi: reference implementation of the Stride-6 engine. Unifies Chudnovsky's series with DSP polyphase decomposition in Z/6Z. Validated at 100M digits with 95% parallel efficiency. Features a Shared-Nothing architecture to bypass the memory wall and maximize cache alignment.

This repository contains a modular Python toolkit for studying the Riemann-Zeta function on the critical line and certifying its non-trivial zeros.

Fortran, MATLAB and Python code for computing Riemann zeta and log Gamma functions in the complex plane

Sieving primes and counting primes

This repository contains investigations of the distribution of Riemann zeta zeros, with machine learning applications and study of symmetry properties

some misc tools for audio processing and etc.

First 2,001,052 zeros of zeta function

Educational game about the Riemann Zeta function. Now officially published.