Difference between revisions of "Epstein zeta function"
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(Created page with "=References= [http://www.jstor.org/discover/10.2307/1968602?uid=3739744&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21104980545913 On Epstein's Zeta Function]") |
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| + | Let $Q(m,n)=cm^2+bmn+an^2$. The Epstein zeta function is | ||
| + | $$\zeta_Q(z)=\displaystyle\sum_{(m,n)\neq (0,0)} \dfrac{1}{Q(m,n)^z}.$$ | ||
| + | |||
=References= | =References= | ||
[http://www.jstor.org/discover/10.2307/1968602?uid=3739744&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21104980545913 On Epstein's Zeta Function] | [http://www.jstor.org/discover/10.2307/1968602?uid=3739744&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21104980545913 On Epstein's Zeta Function] | ||
Revision as of 00:10, 2 April 2015
Let $Q(m,n)=cm^2+bmn+an^2$. The Epstein zeta function is $$\zeta_Q(z)=\displaystyle\sum_{(m,n)\neq (0,0)} \dfrac{1}{Q(m,n)^z}.$$
