Question

Recurrence relation for the coefficients of the polynomial $p_n(x) = \prod_{i=0}^{n-1}(x-i)$

score 91 · Answer 1 · 2014-11-08 11:20:31

91

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Recurrence relation for the coefficients of the polynomial $p_n(x) = \prod_{i=0}^{n-1}(x-i)$

Published on 08 Nov 2014 - 11:20

score 375 · Answer 2 · 2026-03-27 23:47:52

375

Views

Characterize the type of sequence that satisfies $\prod (1-a_i) \leq c$

Published on 27 Mar 2026 - 23:47

score 171 · Answer 3 · 2014-11-09 18:39:44

171

Views

Idea for primality testing based on a trigonometric product

Published on 09 Nov 2014 - 18:39

score 274 · Answer 4 · 2014-11-10 19:36:43

274

Views

Counterexamples in $R$-modules products and $R$-modules direct sums and $R$-homomorphisms (Exemplification)

Published on 10 Nov 2014 - 19:36

score 3.8k · Answer 5 · 2026-03-25 19:01:38

3.8k

Views

Why is empty product defined to be $1$?

Published on 25 Mar 2026 - 19:01

score 1.3k · Answer 6 · 2014-11-12 19:25:30

1.3k

Views

Other proof for tensor product equal to zero (without use Nakayama lemma and Jacobson radical)

Published on 12 Nov 2014 - 19:25

score 533 · Answer 7 · 2014-11-14 04:48:29

533

Views

$S$ nonempty finite subset of group $G$ for which $SS=S$. $S$ is subgroup.

Published on 14 Nov 2014 - 4:48

score 47 · Answer 8 · 2014-11-16 18:01:18

47

Views

How I can calculate this product

Published on 16 Nov 2014 - 18:01

score 184 · Answer 9 · 2026-03-25 23:36:15

184

Views

Product identity for $n^n$

Published on 25 Mar 2026 - 23:36

score 169 · Answer 10 · 2014-11-24 14:35:54

169

Views

What's the name of this strange inequality?

Published on 24 Nov 2014 - 14:35

score 240 · Answer 11 · 2014-11-25 06:24:28

240

Views

Is $\frac{1}{e^\gamma\log x} \prod\limits_{p < x,p\,\text{prime}} \frac{p}{p-1}<1+ \prod\limits_{p<x,p\,\text{prime}}\frac{1}{p^{n+1}-1}?$

Published on 25 Nov 2014 - 6:24

score 873 · Answer 12 · 2026-03-27 23:46:38

873

Views

Evaluation of $\prod_{n=1}^\infty e\left(\frac{n}{n+1}\right)^{n}\sqrt{\frac{n}{n+1}}$

Published on 27 Mar 2026 - 23:46

score 136 · Answer 13 · 2014-11-26 01:11:51

136

Views

With $N$ a constant $>0$, show $\prod_{p<x}\frac{1}{p^{N+1}-1}>\frac{0.2}{\log^2 x}$.

Published on 26 Nov 2014 - 1:11

score 42 · Answer 14 · 2014-11-27 15:26:56

42

Views

Is there a name for expressions of the form $\sum_{i=1}^N \prod_{k=1}^i a_k$?

Published on 27 Nov 2014 - 15:26

score 75 · Answer 15 · 2014-11-29 10:07:45

75

Views

How the second form of following equation is derived form first form (i.e. given first line, what are the steps involved in writing second line

Published on 29 Nov 2014 - 10:07

List Question

Recurrence relation for the coefficients of the polynomial $p_n(x) = \prod_{i=0}^{n-1}(x-i)$

Characterize the type of sequence that satisfies $\prod (1-a_i) \leq c$

Idea for primality testing based on a trigonometric product

Counterexamples in $R$-modules products and $R$-modules direct sums and $R$-homomorphisms (Exemplification)

Why is empty product defined to be $1$?

Other proof for tensor product equal to zero (without use Nakayama lemma and Jacobson radical)

$S$ nonempty finite subset of group $G$ for which $SS=S$. $S$ is subgroup.

How I can calculate this product

Product identity for $n^n$

What's the name of this strange inequality?

Is $\frac{1}{e^\gamma\log x} \prod\limits_{p < x,p\,\text{prime}} \frac{p}{p-1}<1+ \prod\limits_{p<x,p\,\text{prime}}\frac{1}{p^{n+1}-1}?$

Evaluation of $\prod_{n=1}^\infty e\left(\frac{n}{n+1}\right)^{n}\sqrt{\frac{n}{n+1}}$

With $N$ a constant $>0$, show $\prod_{p<x}\frac{1}{p^{N+1}-1}>\frac{0.2}{\log^2 x}$.

Is there a name for expressions of the form $\sum_{i=1}^N \prod_{k=1}^i a_k$?

How the second form of following equation is derived form first form (i.e. given first line, what are the steps involved in writing second line

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