List questions from analytic-number-theory

Published on 17 Apr 2026 - 2:52

26

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Number of polynomials with the Frobenius class in $C$.

Published on 09 Apr 2026 - 13:37

92

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Bound number of integers not exceeding x composed of primes $p_1, p_2, ..., p_k$

Published on 16 Apr 2026 - 12:01

59

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Show the next number is not rational

Published on 14 Apr 2026 - 13:09

135

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Partial Harmonic Sum Equals $1/\Pi(1-1/p)$

Published on 12 Apr 2026 - 19:08

69

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Identifying a Number Theoretic Function

Published on 12 Apr 2026 - 5:17

139

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Understanding Statement of Perron's Formula (Segal)

Published on 09 Apr 2026 - 7:03

30

Views

How to find $R$ such that $\prod_{p\mid q} \Big(p-2-r +O\left( \frac{1}{p-2}\right) \Big)=\prod_{p\mid q} (p-2-r) +O(R)$.

Published on 18 Apr 2026 - 2:56

100

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Functional equation for $\zeta$ function Apostol explanation

Published on 09 Apr 2026 - 0:26

147

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On $\frac{\sigma(n+1)}{p_{n+1}}-\frac{\sigma(n)}{p_{n}}$, where $p_k$ is the $kth$ prime number and $\sigma(k)$ the sum of divisors function

Published on 16 Apr 2026 - 15:43

137

Views

What about $\sum_{n=1}^\infty\frac{\mu(n)}{n}\psi\left(1+\frac{1}{n}\right)$ as $\frac{1}{2}$?

Published on 25 Mar 2026 - 22:05

585

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What is the intuition for $p$-adic numbers in wiki-sense?

Published on 11 Apr 2026 - 1:04

593

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Theorem 11.14, Apostol, pg 238 - need explanation

Published on 26 Mar 2026 - 1:03

320

Views

Properties of Dirichlet Inverse Series.

Published on 26 Mar 2026 - 1:08

433

Views

Characters in analytic number theory

Published on 11 Apr 2026 - 7:44

List Question

Relation primes-places of a global field

Number of polynomials with the Frobenius class in $C$.

Bound number of integers not exceeding x composed of primes $p_1, p_2, ..., p_k$

Show the next number is not rational

Partial Harmonic Sum Equals $1/\Pi(1-1/p)$

Identifying a Number Theoretic Function

Understanding Statement of Perron's Formula (Segal)

How to find $R$ such that $\prod_{p\mid q} \Big(p-2-r +O\left( \frac{1}{p-2}\right) \Big)=\prod_{p\mid q} (p-2-r) +O(R)$.

Functional equation for $\zeta$ function Apostol explanation

On $\frac{\sigma(n+1)}{p_{n+1}}-\frac{\sigma(n)}{p_{n}}$, where $p_k$ is the $kth$ prime number and $\sigma(k)$ the sum of divisors function

What about $\sum_{n=1}^\infty\frac{\mu(n)}{n}\psi\left(1+\frac{1}{n}\right)$ as $\frac{1}{2}$?

What is the intuition for $p$-adic numbers in wiki-sense?

Theorem 11.14, Apostol, pg 238 - need explanation

Properties of Dirichlet Inverse Series.

Characters in analytic number theory

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