
Glossary: Prime Pages: Top 5000: 
The Bernoulli
numbers come from the coefficients in the
Taylor expansion of x/(e^{x}1).
They can be defined recursively by setting
B_{0}=1, and then using
These numbers can also be defined using the Riemann zeta function as follows The Bernoulli numbers first appeared in the posthumous work "Ars Conjectandi" (1713) by Jakob Bernoulli. Euler used them to express the sums of equal powers of consecutive integers. They also are important in classical assaults of Fermat's Last Theorem.
See Also: Regular Related pages (outside of this work)
References:
Chris K. Caldwell © 19992018 (all rights reserved)
