List questions from dirichlet-series

Published on 21 Mar 2019 - 2:04

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Prove the series $\sum n^{-1-it}$ is diverge for all real $t$.

Published on 21 Mar 2019 - 10:39

104

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Help with the derivation of the class number formula

Published on 24 Mar 2026 - 23:44

114

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Squared modulus of Dirichlet eta function.

Published on 30 Mar 2019 - 15:49

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What is the limit of this Dirichlet series?

Published on 03 Apr 2019 - 14:23

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A formula to find $ \lim_{s \to 1} \frac{1}{\zeta(s)} (\sum_{x_i=1}^\infty \dots \sum_{x_1 =1}^\infty)\frac{1}{ (\sum_{k=1}^i (x_k)^i)^s}$?

Published on 03 Apr 2019 - 22:38

45

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Extension of an identity related to a Dirichlet series

Published on 04 Apr 2019 - 10:26

403

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Convergence of $\sum_{n=1}^\infty\frac{\cot \varphi\pi n}{n^s}$

Published on 14 Mar 2026 - 3:03

112

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Question about Dirichlet Series Related to Formula for $\frac{1}{e}$

Published on 14 Apr 2019 - 20:22

796

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Meaning of absolute constant

Published on 22 Apr 2019 - 20:36

211

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Generalising the Dirichlet L-Series

Published on 27 Apr 2019 - 20:20

241

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$\sum_{n=1}^\infty \chi(n)\phi(n)n^{-s} = \frac{L(\chi,s-1)}{L(\chi,s)}$

Published on 04 May 2019 - 23:08

434

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Precise factorization of Dedekind zeta function of cyclotomic field

Published on 25 Mar 2026 - 3:19

428

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Inversion theorem for Dirichlet series

Published on 22 Mar 2026 - 16:18

231

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An asymptotic series for $\small\prod_{k=n}^\infty\operatorname{sinc}\left({2^{-k}}\pi\right),\,n\to\infty$

Published on 25 Mar 2026 - 1:20

List Question

Alternating Bertrand series

Prove the series $\sum n^{-1-it}$ is diverge for all real $t$.

Help with the derivation of the class number formula

Squared modulus of Dirichlet eta function.

What is the limit of this Dirichlet series?

A formula to find $ \lim_{s \to 1} \frac{1}{\zeta(s)} (\sum_{x_i=1}^\infty \dots \sum_{x_1 =1}^\infty)\frac{1}{ (\sum_{k=1}^i (x_k)^i)^s}$?

Extension of an identity related to a Dirichlet series

Convergence of $\sum_{n=1}^\infty\frac{\cot \varphi\pi n}{n^s}$

Question about Dirichlet Series Related to Formula for $\frac{1}{e}$

Meaning of absolute constant

Generalising the Dirichlet L-Series

$\sum_{n=1}^\infty \chi(n)\phi(n)n^{-s} = \frac{L(\chi,s-1)}{L(\chi,s)}$

Precise factorization of Dedekind zeta function of cyclotomic field

Inversion theorem for Dirichlet series

An asymptotic series for $\small\prod_{k=n}^\infty\operatorname{sinc}\left({2^{-k}}\pi\right),\,n\to\infty$

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