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

audiobook

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

EN·~17 hours·35 chapters

Chapters

35 total
1

Part 1

1:35
2

Part 2

0:00
3

Part 3

31:45
4

Part 4

31:45
5

Part 5

31:45
6

Part 6

31:45
7

Part 7

31:45
8

Part 8

31:45
9

Part 9

31:45
10

Part 10

31:45

Description

Delve into the world of mathematical constants with a meticulous presentation of the Riemann zeta function at three, known as ζ(3). This volume offers the first million decimal places of the value, a number that arises from the infinite series of reciprocal cubes and holds a special place in number theory and physics. Readers will encounter the elegant formula that accelerates its computation, alongside a clear explanation of the hyper‑geometric techniques that made such precision possible.

The work also highlights the collaborative effort behind the calculation, detailing contributions from researchers who refined the underlying series and from the programmer who pushed the limits of multiprecision arithmetic. By showcasing the step‑by‑step development of the algorithm, the book serves both as a reference for enthusiasts and as a teaching tool for those interested in advanced numerical methods.

Whether you are a seasoned mathematician or a curious listener, this exploration provides insight into why ζ(3) matters and how modern computation can unveil its hidden depths, all presented in an accessible, engaging format.

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Details

Language

en

Duration

~17 hours (994K characters)

Publisher of text edition

Project Gutenberg

Release date

2001-04-01

Rights

Public domain in the USA.

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