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and its conjugate for $\chi_5(3,\cdot)$; the real part $\frac{\pi}{5}\cot\frac{\pi}{5}=0.8648062659\ldots$ is the isoperimetric quotient $4\pi A/P^2$ of the regular pentagon, CITE{OEISpentagon}.- comment-requested: Asked for in CITE{issue22}, of which this is the Dirichlet case. Formulas: formula-hurwitz: $L(s,\chi)=q^{-s}\sum_{a=1}^{q}\chi(a)\,\zeta(s,a/q)$ for $s\geq
bib: H. Davenport, Multiplicative Number Theory, third edition, Graduate Texts in Mathematics 74, Springer, 2000, Chapters 4, 6 and 9.- issue22:- bib: 'numberdb-data issue #22, "Special values of various L-functions at integers",- https://github.com/numberdb/numberdb-data/issues/22' Tags: - number theory
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