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Question related to finding a recurrence relation involving series and gcd

score 32 · Answer 1 · 2020-04-05 13:43:21

32

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Question related to finding a recurrence relation involving series and gcd

Published on 05 Apr 2020 - 13:43

score 170 · Answer 2 · 2020-04-05 14:09:10

170

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Proof of Bezout Identity using Euclid Algorithm

Published on 05 Apr 2020 - 14:09

score 234 · Answer 3 · 2026-02-23 10:16:46

234

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how many minimum possible co prime grouping upto $n$?

Published on 23 Feb 2026 - 10:16

score 50 · Answer 4 · 2026-03-28 04:34:26

50

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Coprimality in a given set of consecutive natural numbers

Published on 28 Mar 2026 - 4:34

score 65 · Answer 5 · 2020-04-06 23:36:18

65

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Existence of a factorization with some conditions

Published on 06 Apr 2020 - 23:36

score 133 · Answer 6 · 2020-04-08 03:47:01

133

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Find the asympt. expan. as $N \rightarrow \infty$ of $\sum_{r,s,t=1}^{N} \left[\sqrt{s^2 \pm 4 r t} \in \mathbb{Z}\right] \left[\gcd(r,s,t)=1\right]$

Published on 08 Apr 2020 - 3:47

score 98 · Answer 7 · 2020-04-09 12:50:17

98

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How to prove this inequality: $\sum_{i=1}^{n}\sum_{j=1}^{n}\text{lcm}(i,j)\ge\frac{7}{8}n^3$?

Published on 09 Apr 2020 - 12:50

score 197 · Answer 8 · 2020-04-10 01:03:05

197

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How prove this inequality $\sum_{i=1}^{n}\sum_{j=1}^{n}\text{lcm}(i,j)\le\frac{n^3}{5}(n+4)$?

Published on 10 Apr 2020 - 1:03

score 152 · Answer 9 · 2020-04-13 15:31:09

152

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let $a,b$, and $c$ be integers with $b \ne 0$, and $b|c$. Prove that $\gcd(a,b) =\gcd(a+c, b)$

Published on 13 Apr 2020 - 15:31

score 80 · Answer 10 · 2026-03-27 17:40:25

80

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Prove $\sum_{k=1}^{m}\frac{1}{1-e^{2i\pi jk/m}z}=\frac{m}{1-z^{m/\gcd(m,j)}}$

Published on 27 Mar 2026 - 17:40

score 140 · Answer 11 · 2026-03-26 02:45:39

140

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On odd perfect numbers and a GCD - Part II

Published on 26 Mar 2026 - 2:45

score 27 · Answer 12 · 2020-04-15 15:13:25

27

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Is the following inductive argument valid for establishing the relationship between two recurrence relations?

Published on 15 Apr 2020 - 15:13

score 135 · Answer 13 · 2026-03-26 02:45:40

135

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When does $\gcd(m,\sigma(m^2))$ equal $\gcd(m^2,\sigma(m^2))$? What are the exceptions?

Published on 26 Mar 2026 - 2:45

score 188 · Answer 14 · 2020-04-16 10:15:06

188

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how to prove that HCF of two integers will always be an integer?

Published on 16 Apr 2020 - 10:15

score 228 · Answer 15 · 2026-03-28 11:54:11

228

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What is the asymptotic density of positive integers $n$ satisfying $\gcd(n,\sigma(n^2))=\gcd(n^2,\sigma(n^2))$?

Published on 28 Mar 2026 - 11:54

List Question

Question related to finding a recurrence relation involving series and gcd

Proof of Bezout Identity using Euclid Algorithm

how many minimum possible co prime grouping upto $n$?

Coprimality in a given set of consecutive natural numbers

Existence of a factorization with some conditions

Find the asympt. expan. as $N \rightarrow \infty$ of $\sum_{r,s,t=1}^{N} \left[\sqrt{s^2 \pm 4 r t} \in \mathbb{Z}\right] \left[\gcd(r,s,t)=1\right]$

How to prove this inequality: $\sum_{i=1}^{n}\sum_{j=1}^{n}\text{lcm}(i,j)\ge\frac{7}{8}n^3$?

How prove this inequality $\sum_{i=1}^{n}\sum_{j=1}^{n}\text{lcm}(i,j)\le\frac{n^3}{5}(n+4)$?

let $a,b$, and $c$ be integers with $b \ne 0$, and $b|c$. Prove that $\gcd(a,b) =\gcd(a+c, b)$

Prove $\sum_{k=1}^{m}\frac{1}{1-e^{2i\pi jk/m}z}=\frac{m}{1-z^{m/\gcd(m,j)}}$

On odd perfect numbers and a GCD - Part II

Is the following inductive argument valid for establishing the relationship between two recurrence relations?

When does $\gcd(m,\sigma(m^2))$ equal $\gcd(m^2,\sigma(m^2))$? What are the exceptions?

how to prove that HCF of two integers will always be an integer?

What is the asymptotic density of positive integers $n$ satisfying $\gcd(n,\sigma(n^2))=\gcd(n^2,\sigma(n^2))$?

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