Difference between revisions of "Epstein zeta function"

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=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]<br />
 
[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]<br />
[http://www.wikiwand.com/en/Real_analytic_Eisenstein_series#/Epstein_zeta_function]<br />
 

Revision as of 04:32, 12 April 2015

Let $Q(m,n)=cm^2+bmn+an^2$. The Epstein zeta function is $$\zeta_Q(z)=\displaystyle\sum_{(m,n)\neq (0,0)} \dfrac{1}{Q(m,n)^z}.$$

References

On Epstein's Zeta Function