Welcome to EULER PRODUCT documentation!

sage-euler-product is a Python SageMath package implementing Eulerian Product for Number Théory

Documentation

Release:

Date:

Sep 25, 2024

Contents:

• Tutorial Euler Product
  • Introduction and principles
  • Euler Product over every primes
  • Lattice Invariant Classes modulo \(q\)
  • Euler Product over primes in arithmetic progression
• Installation EULER_PRODUCT
  • Usage
• Fast multi-precision computation of some Euler products
  • 1. Introduction
  • 2. Proof of Theorem 2 when \(F/H=1/(1-X)\)
  • 3. Proof of Theorem 2 in general
  • 4. Link with two other sets of inequalities
  • 5. Timing and implementation notes
• API Documentation
  • euler_product.lattice_invariant_euler_products
  • euler_product.utils_euler_product

Indices and tables

• Index

• Module Index

• Search Page