Question

Density of Squarefree 1 degree polynomial

score 99 · Answer 1 · 2026-04-13 15:29:30

99

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Density of Squarefree 1 degree polynomial

Published on 13 Apr 2026 - 15:29

score 158 · Answer 2 · 2026-04-13 23:05:01

158

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Square free values of polynomials on $\mathbb{Z}[x]$

Published on 13 Apr 2026 - 23:05

score 81 · Answer 3 · 2026-04-16 22:04:07

81

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Prove that $\sum_{n \leq z} \frac{\mu(n)^2} { (\mu \star f)(n)} \geq \zeta(2) +O(1/z)$

Published on 16 Apr 2026 - 22:04

score 75 · Answer 4 · 2026-04-12 11:25:54

75

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Taking the fractional part of a sum with an integer

Published on 12 Apr 2026 - 11:25

score 163 · Answer 5 · 2026-04-17 01:23:00

163

Views

Prove that $\sum_{n\leq x , gcd(3,n)=1} \frac{ \tau(n)}{n} = \frac{ 2(\log x)^2} {9} +O(\log x)$

Published on 17 Apr 2026 - 1:23

score 107 · Answer 6 · 2026-04-16 10:09:54

107

Views

Deducing a lower bound for the number of sign changes

Published on 16 Apr 2026 - 10:09

score 94 · Answer 7 · 2026-04-13 02:09:49

94

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Identity of a modification of the primorial function

Published on 13 Apr 2026 - 2:09

score 201 · Answer 8 · 2026-04-14 19:53:09

201

Views

Upper and lower bound on the N-th Pythagorean triplet

Published on 14 Apr 2026 - 19:53

score 57 · Answer 9 · 2026-04-12 11:43:01

57

Views

A variation on the Markov Diophantine equation

Published on 12 Apr 2026 - 11:43

score 72 · Answer 10 · 2026-04-15 00:09:24

72

Views

Question involving series of divisor function and Euler function

Published on 15 Apr 2026 - 0:09

score 194 · Answer 11 · 2026-04-16 19:06:43

194

Views

$s(n) = a_1 p_1^n + \dots + a_k p_k^n + a_{k + 1}$ is a perfect square for every $n$, prove that $a_1 = a_2 = \dots = a_k = 0$ & $a_{k + 1}$ a square

Published on 16 Apr 2026 - 19:06

score 206 · Answer 12 · 2026-04-14 02:23:51

206

Views

Average length of consecutive numbers which have an increasing number of divisors

Published on 14 Apr 2026 - 2:23

score 640 · Answer 13 · 2026-04-12 01:52:43

640

Views

What's so special about square root cancellation?

Published on 12 Apr 2026 - 1:52

score 267 · Answer 14 · 2026-04-16 10:22:05

267

Views

How do I prove that there are infinitely many natural numbers $n$ such that $\lfloor\sqrt{3}\cdot\tau(n)\rfloor$ divides $n$?

Published on 16 Apr 2026 - 10:22

score 169 · Answer 15 · 2026-04-15 08:35:58

169

Views

Is $\limsup_n \frac{\sigma(n)}{n \log p(n)} <\infty$, where $p(n)$ is the greatest prime factor of $n$ and $\sigma(n)=\sum_{d | n} d$?

Published on 15 Apr 2026 - 8:35

List Question

Density of Squarefree 1 degree polynomial

Square free values of polynomials on $\mathbb{Z}[x]$

Prove that $\sum_{n \leq z} \frac{\mu(n)^2} { (\mu \star f)(n)} \geq \zeta(2) +O(1/z)$

Taking the fractional part of a sum with an integer

Prove that $\sum_{n\leq x , gcd(3,n)=1} \frac{ \tau(n)}{n} = \frac{ 2(\log x)^2} {9} +O(\log x)$

Deducing a lower bound for the number of sign changes

Identity of a modification of the primorial function

Upper and lower bound on the N-th Pythagorean triplet

A variation on the Markov Diophantine equation

Question involving series of divisor function and Euler function

$s(n) = a_1 p_1^n + \dots + a_k p_k^n + a_{k + 1}$ is a perfect square for every $n$, prove that $a_1 = a_2 = \dots = a_k = 0$ & $a_{k + 1}$ a square

Average length of consecutive numbers which have an increasing number of divisors

What's so special about square root cancellation?

How do I prove that there are infinitely many natural numbers $n$ such that $\lfloor\sqrt{3}\cdot\tau(n)\rfloor$ divides $n$?

Is $\limsup_n \frac{\sigma(n)}{n \log p(n)} <\infty$, where $p(n)$ is the greatest prime factor of $n$ and $\sigma(n)=\sum_{d | n} d$?

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