Dirichlet L-function - Euler Product

Euler Product

Since a Dirichlet character χ is completely multiplicative, its L-function can also be written as an Euler product in the half-plane of absolute convergence:

where the product is over all prime numbers.

Read more about this topic:  Dirichlet L-function

Famous quotes containing the word product:

    Culture is a sham if it is only a sort of Gothic front put on an iron building—like Tower Bridge—or a classical front put on a steel frame—like the Daily Telegraph building in Fleet Street. Culture, if it is to be a real thing and a holy thing, must be the product of what we actually do for a living—not something added, like sugar on a pill.
    Eric Gill (1882–1940)