Euler product
From Encyclopedia of Mathematics
The infinite product
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where is a real number and
runs through all prime numbers. This product converges absolutely for all
. The analogous product for complex numbers
converges absolutely for
and defines in this domain the Riemann zeta-function
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Comments
See also Euler identity and Zeta-function.
How to Cite This Entry:
Euler product. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_product&oldid=12289
Euler product. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_product&oldid=12289
This article was adapted from an original article by S.A. Stepanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article