Difference between revisions of "Epstein zeta function"

From specialfunctionswiki
Jump to: navigation, search
 
(2 intermediate revisions by the same user not shown)
Line 3: Line 3:
  
 
=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]<br />
 +
 
 +
[[Category:SpecialFunction]]

Latest revision as of 18:52, 24 May 2016

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