List questions from analytic-number-theory

75

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 22 Mar 2026 - 18:10

266

Views

Confusion about little-o and sums

Published on 25 Mar 2026 - 20:15

1k

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

Published on 28 Mar 2026 - 11:54

134

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Understanding a sum with logs and prime numbers.

Published on 22 Mar 2026 - 20:57

121

Views

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

Published on 25 Mar 2026 - 5:41

94

Views

Translation of integration contour

Published on 25 Mar 2026 - 1:16

408

Views

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

Published on 25 Mar 2026 - 12:54

234

Views

Why is any Kloosterman sum real?

Published on 25 Mar 2026 - 9:38

657

Views

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

Published on 21 Mar 2018 - 19:17

104

Views

Different characterizations of Liouville numbers

Published on 27 Mar 2026 - 16:47

121

Views

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

Published on 23 Mar 2026 - 4:28

304

Views

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

Published on 20 Mar 2026 - 11:28

107

Views

Divergence of Petersson inner product

Published on 26 Mar 2026 - 13:51

60

Views

Estimation of a sum involving Dirichlet character

Published on 31 Mar 2018 - 17:27

62

Views

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

Published on 03 Apr 2018 - 4:46

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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