List questions from analytic-number-theory

Published on 24 Apr 2026 - 14:27

892

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Trends in the distribution of reordered digits of Pi (OEIS A096566)

Published on 14 Apr 2026 - 7:49

4k

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How does one read aloud Vinogradov's notation $\ll$ and $\ll_{\epsilon }$?

Published on 12 Apr 2026 - 13:53

132

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Recursions in decimal expansions of certain integers (OEIS A216407)

Published on 12 Apr 2026 - 21:37

1k

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Is there a way to show that $\sqrt{p_{n}} < n$?

Published on 14 Apr 2026 - 2:35

462

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The product $\sin(\pi s/2)\Gamma(1 - s)$

Published on 17 Apr 2026 - 4:52

1k

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Proof of Hardy-Ramanujan inequality in number theory.

Published on 09 Apr 2026 - 20:59

894

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Sum of reciprocal of primes in arithmetic progression

Published on 14 Apr 2026 - 0:04

719

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Euler Maclaurin summation examples?

Published on 14 Apr 2026 - 14:24

181

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Schneider's theorem about the transcendence of values of the $j$-function

Published on 13 Apr 2026 - 18:36

389

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average order of $\sum\limits_{\substack{1\le k\le n \\ (k,n)=1}} \frac{1}{k}$

Published on 12 Apr 2026 - 8:45

93

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$ \ \lim_{x\to ∞ }\frac{π(x)} { x^δ} $

Published on 18 Apr 2026 - 10:15

63

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Rationality of Polynomial Coefficients. Integral Question.

Published on 10 Apr 2026 - 17:48

352

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the constant in the asymptotics of $\sum_{1\le k \le n} \frac{\varphi(k)}{k^2}$

Published on 12 Apr 2026 - 3:51

898

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Finding an asymptotic for the sum $\sum_{p\leq x}p^m$

Published on 15 Apr 2026 - 15:59

List Question

Can we give an upper bound for the sum over primes $p_{i}$ of $\sin(p_{i} x)$?

Trends in the distribution of reordered digits of Pi (OEIS A096566)

How does one read aloud Vinogradov's notation $\ll$ and $\ll_{\epsilon }$?

Recursions in decimal expansions of certain integers (OEIS A216407)

Is there a way to show that $\sqrt{p_{n}} < n$?

The product $\sin(\pi s/2)\Gamma(1 - s)$

Proof of Hardy-Ramanujan inequality in number theory.

Sum of reciprocal of primes in arithmetic progression

Euler Maclaurin summation examples?

Schneider's theorem about the transcendence of values of the $j$-function

average order of $\sum\limits_{\substack{1\le k\le n \\ (k,n)=1}} \frac{1}{k}$

$ \ \lim_{x\to ∞ }\frac{π(x)} { x^δ} $

Rationality of Polynomial Coefficients. Integral Question.

the constant in the asymptotics of $\sum_{1\le k \le n} \frac{\varphi(k)}{k^2}$

Finding an asymptotic for the sum $\sum_{p\leq x}p^m$

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