The Value of Zeta(3) to 1, 000, 000 places

Various

• Publisher: Science & Technology Publishing
• Year: 2025
• Topic: Mathematics
• eBook ISBN:
  9782528100318
• Subtopic: Arithmetic
• Index: Mathematics

The Value of Zeta(3) to 1,000,000 Places is a remarkable mathematical reference work by Simon Plouffe, first published in 1999 and made available through Project Gutenberg. This book presents the decimal expansion of Apéry's constant, ?(3), calculated to an astonishing one million decimal places. Apéry's constant, the value of the Riemann zeta function at 3, is a significant irrational number in mathematics, with deep connections to number theory, quantum physics, and mathematical analysis. The book is structured as a straightforward, exhaustive listing of the digits of ?(3), beginning with its integer part and continuing through a million decimal places. It serves as a testament to both the computational power available at the end of the 20th century and the enduring fascination mathematicians have with fundamental constants. While the book contains no narrative or mathematical exposition, its value lies in providing a reliable, meticulously calculated resource for researchers, educators, and enthusiasts who require high-precision values of ?(3) for theoretical or computational work. The Value of Zeta(3) to 1,000,000 Places is part of a tradition of publishing large-scale numerical tables and constants, echoing earlier works that catalogued ?, e, and other mathematical constants to many digits. It is especially useful for those interested in numerical analysis, experimental mathematics, or the verification of algorithms for high-precision arithmetic. The book is freely available in plain text format, making it accessible for computational use and further study.

Table of contents

• The Value of Zeta(3) to 1,000,000 places