Difference between revisions of "Cotangent zeta function"

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(Created page with "$$\xi_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\cot(\pi n z)}{n^s}$$ =References= [http://jlms.oxfordjournals.org/content/s2-13/1/129.extract Dedekind sums and a paper of...")
 
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$$\xi_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\cot(\pi n z)}{n^s}$$
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$$\xi_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\cot(\pi k z)}{k^s}$$
  
 
=References=
 
=References=
 
[http://jlms.oxfordjournals.org/content/s2-13/1/129.extract Dedekind sums and a paper of G.H. Hardy]
 
[http://jlms.oxfordjournals.org/content/s2-13/1/129.extract Dedekind sums and a paper of G.H. Hardy]

Revision as of 21:30, 27 July 2015

$$\xi_s(z)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\cot(\pi k z)}{k^s}$$

References

Dedekind sums and a paper of G.H. Hardy