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Johann Peter Gustav Lejeune Dirichlet

The life of Johann Peter Gustav Lejeune Dirichlet - Defined the Modern Function.


Dirichlet Series

A generalization of the Zeta function.

\[ F(s) = \sum_{n=1}^\infty \frac{a_n}{n^s} \]

Class Number Formula

Relating algebraic number theory quantities to L-function values.

\[ h = \frac{w\sqrt{|D|}}{2\pi} L(1, \chi) \]

Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Dirichlet/

See Also