List questions from analytic-number-theory

Published on 13 Apr 2026 - 4:48

590

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What is the Prime at Infinity?

Published on 13 Apr 2026 - 13:34

85

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Dirichlet Characters for More General Rings

Published on 09 Apr 2026 - 18:29

188

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Radical of Infinite Product of Primes

Published on 13 Apr 2026 - 18:28

48

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The proof of Lemma A.9 in Opera de Cribro appears to be wrong or ambiguous

Published on 15 Apr 2026 - 10:23

54

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let $\Psi (n,z)=\sum_{\substack{d|n \\ p|d \Rightarrow p>z}}{1\over d}$，I want to find a z as small as possible related to n so that $\Psi (n,z)=O(1)$

Published on 16 Apr 2026 - 12:31

447

Views

An upper bound for the number of divisors

Published on 12 Apr 2026 - 23:29

314

Views

Evaluating a binomial sum involving $1/m^m$

Published on 14 Apr 2026 - 7:39

69

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In $N(T)$, how can we take $T$ to $\infty$?

Published on 11 Apr 2026 - 0:13

160

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Is the principal character mod 1 considered primitive?

Published on 09 Apr 2026 - 18:30

48

Views

Deducing local bound from global bound for zeros of Riemann $\zeta(s)$

Published on 13 Apr 2026 - 8:38

188

Views

How would you prove that the sequence $T_n=\left\lfloor \dfrac{T_{n-1}}{3} \right\rfloor + p$ converges after a finite number of iterations?

Published on 17 Apr 2026 - 5:57

175

Views

Partial sum of the reciprocal of the primes squared

Published on 14 Apr 2026 - 21:01

130

Views

Elementary bound for the reciprocal of the Riemann zeta function for real $s \ge 2$

Published on 16 Apr 2026 - 15:36

53

Views

Heuristic argument on the position of $n$th prime

Published on 15 Apr 2026 - 8:50

List Question

Some Sieves problems

What is the Prime at Infinity?

Dirichlet Characters for More General Rings

Radical of Infinite Product of Primes

The proof of Lemma A.9 in Opera de Cribro appears to be wrong or ambiguous

let $\Psi (n,z)=\sum_{\substack{d|n \\ p|d \Rightarrow p>z}}{1\over d}$，I want to find a z as small as possible related to n so that $\Psi (n,z)=O(1)$

An upper bound for the number of divisors

Evaluating a binomial sum involving $1/m^m$

In $N(T)$, how can we take $T$ to $\infty$?

Is the principal character mod 1 considered primitive?

Deducing local bound from global bound for zeros of Riemann $\zeta(s)$

How would you prove that the sequence $T_n=\left\lfloor \dfrac{T_{n-1}}{3} \right\rfloor + p$ converges after a finite number of iterations?

Partial sum of the reciprocal of the primes squared

Elementary bound for the reciprocal of the Riemann zeta function for real $s \ge 2$

Heuristic argument on the position of $n$th prime

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