List questions from analytic-number-theory

86

Views

Justify an approximation of $\sum_{n=1}^\infty|G_n|\log\left(\frac{n+1}{n}\right)$, where $G_n$ is the $n$th Gregory coefficient

Published on 04 May 2026 - 3:57

270

Views

Confusion about little-o and sums

Published on 11 May 2026 - 8:34

1k

Views

What $\ln (x)$ has to do with $\pi (x)$ and why of all functions the $\ln (x)$ is there?

Published on 15 Apr 2026 - 9:04

140

Views

Understanding a sum with logs and prime numbers.

Published on 10 May 2026 - 17:24

124

Views

On an inequality inspired in the definition of strong primes and the Firoozbakht's conjecture

Published on 10 May 2026 - 13:51

97

Views

Translation of integration contour

Published on 14 May 2026 - 3:49

411

Views

Fourier-type series representation of "quasi-periodic" functions

Published on 11 May 2026 - 4:18

244

Views

Why is any Kloosterman sum real?

Published on 12 May 2026 - 23:19

660

Views

What is the probability that $n$ integers chosen at random are coprime?

Published on 13 Apr 2026 - 9:57

105

Views

Different characterizations of Liouville numbers

Published on 09 Apr 2026 - 8:26

125

Views

Upper bound on coefficients of the logarithmic derivative of a certain Dirichlet series

Published on 21 Apr 2026 - 3:56

314

Views

Not-too-slow computation of Euler products / singular series

Published on 12 May 2026 - 5:15

112

Views

Divergence of Petersson inner product

Published on 13 May 2026 - 20:33

63

Views

Estimation of a sum involving Dirichlet character

Published on 11 Apr 2026 - 17:36

65

Views

For each character $f$ of a finite abelian group $G$, $|f(a)|=1$

Published on 14 Apr 2026 - 4:03

List Question

Justify an approximation of $\sum_{n=1}^\infty|G_n|\log\left(\frac{n+1}{n}\right)$, where $G_n$ is the $n$th Gregory coefficient

Confusion about little-o and sums

What $\ln (x)$ has to do with $\pi (x)$ and why of all functions the $\ln (x)$ is there?

Understanding a sum with logs and prime numbers.

On an inequality inspired in the definition of strong primes and the Firoozbakht's conjecture

Translation of integration contour

Fourier-type series representation of "quasi-periodic" functions

Why is any Kloosterman sum real?

What is the probability that $n$ integers chosen at random are coprime?

Different characterizations of Liouville numbers

Upper bound on coefficients of the logarithmic derivative of a certain Dirichlet series

Not-too-slow computation of Euler products / singular series

Divergence of Petersson inner product

Estimation of a sum involving Dirichlet character

For each character $f$ of a finite abelian group $G$, $|f(a)|=1$

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