List questions from analytic-number-theory

Published on 14 Apr 2026 - 5:34

139

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If $\zeta(1+it_0)=0$ then $|\zeta (\sigma)^3 \zeta (\sigma +it_0)^4 \zeta(\sigma + 2it_0)| \longrightarrow 0$ as $\sigma \longrightarrow 1$

Published on 16 Apr 2026 - 19:35

136

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For which real $s$ does $\sum _{n=1}^{\infty} \frac{1}{n^s}$ converge?

Published on 13 Apr 2026 - 8:21

163

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How to determine the residue of an (arithmetic) Dirichlet series

Published on 12 Apr 2026 - 23:02

60

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Chebyshev's Estimates for residue classes: Is my solution correct?

Published on 14 Apr 2026 - 11:11

137

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Prove that $\Re(\rho)=1/2$

Published on 16 Apr 2026 - 6:15

213

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Find $\oint_{| z|=1}\frac{\log \mid \zeta(\frac{z}{z-1})\mid}{z}dz$

Published on 15 Apr 2026 - 17:06

70

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Show that $\prod_p1+\frac{1}{p^{4s}}+\frac{1}{p^{5s}}$ converges

Published on 17 Apr 2026 - 3:56

472

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Dirichlet series for square root of Riemann Zeta function

Published on 09 Apr 2026 - 18:26

70

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Proof of $\pi _2 (x)=\sum_{p \leq \sqrt{x}} \pi(\frac{x}{p}) + O(\frac{x}{(\log x)^2})$

Published on 16 Apr 2026 - 15:53

62

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Is the set of primes at even positions a Large Set?

Published on 13 Apr 2026 - 17:02

74

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On the convergence of a series involving Mobius functions (in the proof of a nice result)

Published on 14 Apr 2026 - 14:17

233

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Prime factors of $n!+1$

Published on 11 Apr 2026 - 23:54

77

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Are the Satake parameters of an automorphic representation pairwise distinct?

Published on 13 Apr 2026 - 11:39

72

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Do you expect a generic polynomial to produce "the right amount of prime numbers"?

Published on 13 Apr 2026 - 6:08

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Follow-up regarding disproof of modified conjecture found in MathOverflow

If $\zeta(1+it_0)=0$ then $|\zeta (\sigma)^3 \zeta (\sigma +it_0)^4 \zeta(\sigma + 2it_0)| \longrightarrow 0$ as $\sigma \longrightarrow 1$

For which real $s$ does $\sum _{n=1}^{\infty} \frac{1}{n^s}$ converge?

How to determine the residue of an (arithmetic) Dirichlet series

Chebyshev's Estimates for residue classes: Is my solution correct?

Prove that $\Re(\rho)=1/2$

Find $\oint_{| z|=1}\frac{\log \mid \zeta(\frac{z}{z-1})\mid}{z}dz$

Show that $\prod_p1+\frac{1}{p^{4s}}+\frac{1}{p^{5s}}$ converges

Dirichlet series for square root of Riemann Zeta function

Proof of $\pi _2 (x)=\sum_{p \leq \sqrt{x}} \pi(\frac{x}{p}) + O(\frac{x}{(\log x)^2})$

Is the set of primes at even positions a Large Set?

On the convergence of a series involving Mobius functions (in the proof of a nice result)

Prime factors of $n!+1$

Are the Satake parameters of an automorphic representation pairwise distinct?

Do you expect a generic polynomial to produce "the right amount of prime numbers"?

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