Difference between revisions of "Dirichlet L-function"
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[http://empslocal.ex.ac.uk/people/staff/mrwatkin//zeta/devlin.pdf How Euler discovered the zeta function] | [http://empslocal.ex.ac.uk/people/staff/mrwatkin//zeta/devlin.pdf How Euler discovered the zeta function] | ||
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Revision as of 18:49, 24 May 2016
Let $\chi$ be a Dirichlet character with conductor $f$. A Dirichlet $L$-function is $$L(\chi,s)=\displaystyle\sum_n \dfrac{\chi(n)}{n^s} = \displaystyle\prod_{p \hspace{2pt} \mathrm{prime}} \dfrac{1}{1-\chi(p)p^{-s}}.$$
