Talk:Dirichlet beta function

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Reciprocal of this function - is this worth adding to the main section?

It may be worth mentioniong that:

   1/beta(s) = sum(n=1..infinity((-1)^n * mu(n+1)/(2*n+1)^s));

which is valid for Re(s)>1. Hair Commodore (talk) 20:05, 28 July 2008 (UTC). Note that mu(*) is the Mobius mu function.[reply]

(It certainly converges to 4/Pi when s=1)