Difference between revisions of "Dirichlet series"

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(Created page with "Let $z \in \mathbb{C}$. A Dirichlet series is a series of the form $$\displaystyle\sum_{k=1}^{\infty} \dfrac{a_k}{k^z}.$$ ==Properties== ==References== {{BookReference|T...")
 
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==References==
 
==References==
{{BookReference|The General Theory Of Dirichlet's Series|1915|G.H. Hardy|author2=Irene A. Stegun|prev=General Dirichlet series|next=findme}}: $I (2)$ (calls a Dirichlet series an <i>ordinary</i> Dirichlet series)
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{{BookReference|The General Theory Of Dirichlet's Series|1915|G.H. Hardy|author2=Marcel Riesz|prev=General Dirichlet series|next=findme}}: $I (2)$ (calls a Dirichlet series an <i>ordinary</i> Dirichlet series)
  
 
[[Category:Definition]]
 
[[Category:Definition]]

Revision as of 23:15, 17 March 2017

Let $z \in \mathbb{C}$. A Dirichlet series is a series of the form $$\displaystyle\sum_{k=1}^{\infty} \dfrac{a_k}{k^z}.$$

Properties

References

1915: G.H. Hardy and Marcel Riesz: The General Theory Of Dirichlet's Series ... (previous) ... (next): $I (2)$ (calls a Dirichlet series an ordinary Dirichlet series)