List questions from analytic-number-theory

Published on 12 Apr 2026 - 5:21

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Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$

Published on 16 Apr 2026 - 22:31

666

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A Question on RH relating to Prime Number theorem

Published on 16 Apr 2026 - 4:24

467

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Markov-Hurwitz equation

Published on 11 Apr 2026 - 23:32

1.2k

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Continued Fraction expansion of $\tan(1)$

Published on 10 Apr 2026 - 16:50

2k

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Why is the following evaluation of Apery's Constant wrong and do you have suggestions on how, if at all, this method could be improved?

Published on 14 Apr 2026 - 13:06

1.8k

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Efficiently calculating the logarithmic integral with complex argument

Published on 20 Apr 2026 - 5:53

231

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Bounding the series $\sum_{m\leq x,m\neq n}\frac{1}{|\log(m/n)|}$

Published on 16 Apr 2026 - 20:39

248

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Showing $e^{\psi(x)}= \text{lcm}[ 1,2,\cdots , \lfloor{x\rfloor}]$

Published on 15 Apr 2026 - 20:57

319

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Why is width of critical strip what it is?

Published on 13 Apr 2026 - 8:40

2.1k

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Motivation for Hecke characters

Published on 12 Apr 2026 - 20:36

3k

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Proving $\sum\limits_{p \leq x} \frac{1}{\sqrt{p}} \geq \frac{1}{2}\log{x} -\log{\log{x}}$

Published on 17 Apr 2026 - 12:00

12.9k

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Riemann zeta function at odd positive integers

Published on 10 Apr 2026 - 17:52

14.8k

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How hard is the proof of $\pi$ or $e$ being transcendental?

Published on 12 Apr 2026 - 11:21

191

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Nonnegativity of the quadratic Dirichlet L-function $L(\tfrac{1}{2},\chi)$ under GRH

Published on 17 Apr 2026 - 11:46

List Question

Accuracy of approximation to inclusion-exclusion formula in prime sieve

Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$

A Question on RH relating to Prime Number theorem

Markov-Hurwitz equation

Continued Fraction expansion of $\tan(1)$

Why is the following evaluation of Apery's Constant wrong and do you have suggestions on how, if at all, this method could be improved?

Efficiently calculating the logarithmic integral with complex argument

Bounding the series $\sum_{m\leq x,m\neq n}\frac{1}{|\log(m/n)|}$

Showing $e^{\psi(x)}= \text{lcm}[ 1,2,\cdots , \lfloor{x\rfloor}]$

Why is width of critical strip what it is?

Motivation for Hecke characters

Proving $\sum\limits_{p \leq x} \frac{1}{\sqrt{p}} \geq \frac{1}{2}\log{x} -\log{\log{x}}$

Riemann zeta function at odd positive integers

How hard is the proof of $\pi$ or $e$ being transcendental?

Nonnegativity of the quadratic Dirichlet L-function $L(\tfrac{1}{2},\chi)$ under GRH

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