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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.

4 votes

How to prove the identity $L(2,(\frac{\cdot}3))=\frac2{15}\sum\limits_{k=1}^\infty\frac{48^k...

To provide an alternative approach, I'll cross-post my answer from MSE, adapted for the series. Similarly to what @Nemo obtained in the comments, we can transform the original series into an equivalen …
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