List questions from analytic-number-theory

Published on 12 Apr 2026 - 10:38

541

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Deriving Selberg's asymptotic formula from Selberg's identity

Published on 11 Apr 2026 - 18:39

90

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If $\xi$ is the Riemann xi function then value of $\xi'(1/2)$?

Published on 12 Apr 2026 - 12:28

189

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Approximate: $\sum_{\Im(\rho)>0}\frac{1}{|\rho-\frac{1}{2}|^2}$ where $\rho$ is non trivial zeros of the zeta function

Published on 14 Apr 2026 - 18:46

170

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On calculating the residue of some series containing log of Zeta function:

Published on 14 Apr 2026 - 6:13

203

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Dirichlet Eta Function

Published on 12 Apr 2026 - 10:38

182

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$\sum_{\rho}\frac{1}{|\rho|^2}=\sum_\rho\frac{1}{\rho(1-\rho)}$

Published on 14 Apr 2026 - 4:26

95

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Converse to a result of convergence of $\lim\frac{1}{x}\sum_{n\leq x}a_n=k$

Published on 17 Apr 2026 - 8:58

126

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$\sum_{\Im(\rho)>0}\frac{1-2\ \Re(\rho)}{|\frac{1}{2}-\rho|^2}=0 $ iff the Riemann Hypothesis is true.

Published on 14 Apr 2026 - 22:48

70

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Question regarding Zeta function representation

Published on 12 Apr 2026 - 12:37

60

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Two estimations in analytic number theory

Published on 11 Apr 2026 - 7:52

91

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Convergence of an adelic integral

Published on 09 Apr 2026 - 15:22

128

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Sum of Kloosterman sums bound by $O(n^{\epsilon})$

Published on 16 Apr 2026 - 7:01

191

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Infinitely Many Prime Divisors $k\pmod n$

Published on 15 Apr 2026 - 10:08

220

Views

validity of simple argument for showing $\sum 1/p$ grows like $\log \log x$

Published on 17 Apr 2026 - 6:39

List Question

Proof of Zero density of the Riemann Zeta function

Deriving Selberg's asymptotic formula from Selberg's identity

If $\xi$ is the Riemann xi function then value of $\xi'(1/2)$?

Approximate: $\sum_{\Im(\rho)>0}\frac{1}{|\rho-\frac{1}{2}|^2}$ where $\rho$ is non trivial zeros of the zeta function

On calculating the residue of some series containing log of Zeta function:

Dirichlet Eta Function

$\sum_{\rho}\frac{1}{|\rho|^2}=\sum_\rho\frac{1}{\rho(1-\rho)}$

Converse to a result of convergence of $\lim\frac{1}{x}\sum_{n\leq x}a_n=k$

$\sum_{\Im(\rho)>0}\frac{1-2\ \Re(\rho)}{|\frac{1}{2}-\rho|^2}=0 $ iff the Riemann Hypothesis is true.

Question regarding Zeta function representation

Two estimations in analytic number theory

Convergence of an adelic integral

Sum of Kloosterman sums bound by $O(n^{\epsilon})$

Infinitely Many Prime Divisors $k\pmod n$

validity of simple argument for showing $\sum 1/p$ grows like $\log \log x$

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