Question

Intriguing polynomials coming from a combinatorial physics problem

score 730 · Answer 1 · 2011-10-17 07:42:47

730

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Intriguing polynomials coming from a combinatorial physics problem

Published on 17 Oct 2011 - 7:42

score 167 · Answer 2 · 2026-03-25 12:54:42

167

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Closed form for $\sum_{m \geq 1} (-1)^m q^{m(m+1)/2 + m \Delta}$?

Published on 25 Mar 2026 - 12:54

score 629 · Answer 3 · 2011-12-14 21:31:32

629

Views

What's the reasoning for this recurrence on $q$-multinomial coefficients?

Published on 14 Dec 2011 - 21:31

score 817 · Answer 4 · 2011-12-15 01:54:29

817

Views

Deriving Cauchy's identity from the $q$-binomial theorem?

Published on 15 Dec 2011 - 1:54

score 258 · Answer 5 · 2011-12-16 22:32:55

258

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Primitive roots as roots of a $q$-multinomial.

Published on 16 Dec 2011 - 22:32

score 1.3k · Answer 6 · 2011-12-19 17:34:23

1.3k

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Representing the $q$-binomial coefficient as a polynomial with coefficients in $\mathbb{Q}(q)$?

Published on 19 Dec 2011 - 17:34

score 410 · Answer 7 · 2011-12-20 19:55:15

410

Views

Intermediate step in deducing Jacobi's triple product identity.

Published on 20 Dec 2011 - 19:55

score 337 · Answer 8 · 2011-12-28 22:18:46

337

Views

Is the following product of $q$-binomial coefficients a polynomial in $q$?

Published on 28 Dec 2011 - 22:18

score 511 · Answer 9 · 2012-02-05 23:27:40

511

Views

Inferring Jacobi Triple product from $q$-binomial theorem?

Published on 05 Feb 2012 - 23:27

score 832 · Answer 10 · 2012-02-11 07:50:24

832

Views

Recurrence for $q$-analog for the Stirling numbers?

Published on 11 Feb 2012 - 7:50

score 105 · Answer 11 · 2026-02-23 06:37:06

105

Views

About $t$-analogue of the Eulerian polynomials.

Published on 23 Feb 2026 - 6:37

score 807 · Answer 12 · 2012-02-15 18:58:02

807

Views

q-Analogue of the formula $x^n=\sum_k\left\{n\atop k\right\}(x)_k$.

Published on 15 Feb 2012 - 18:58

score 80 · Answer 13 · 2012-02-17 00:04:37

80

Views

Necessary and sufficient condition for $f(q^n)$ to be in $\mathbb{Z}[q,q^{-1}]$ when $f\in\mathbb{Q}(q)[x]$?

Published on 17 Feb 2012 - 0:04

score 705 · Answer 14 · 2012-04-05 14:50:15

705

Views

Reciprocity Law of the Gaussian (or $q$-Binomial) Coefficient

Published on 05 Apr 2012 - 14:50

score 387 · Answer 15 · 2012-07-20 16:44:24

387

Views

Different notions of q-numbers

Published on 20 Jul 2012 - 16:44

List Question

Intriguing polynomials coming from a combinatorial physics problem

Closed form for $\sum_{m \geq 1} (-1)^m q^{m(m+1)/2 + m \Delta}$?

What's the reasoning for this recurrence on $q$-multinomial coefficients?

Deriving Cauchy's identity from the $q$-binomial theorem?

Primitive roots as roots of a $q$-multinomial.

Representing the $q$-binomial coefficient as a polynomial with coefficients in $\mathbb{Q}(q)$?

Intermediate step in deducing Jacobi's triple product identity.

Is the following product of $q$-binomial coefficients a polynomial in $q$?

Inferring Jacobi Triple product from $q$-binomial theorem?

Recurrence for $q$-analog for the Stirling numbers?

About $t$-analogue of the Eulerian polynomials.

q-Analogue of the formula $x^n=\sum_k\left\{n\atop k\right\}(x)_k$.

Necessary and sufficient condition for $f(q^n)$ to be in $\mathbb{Z}[q,q^{-1}]$ when $f\in\mathbb{Q}(q)[x]$?

Reciprocity Law of the Gaussian (or $q$-Binomial) Coefficient

Different notions of q-numbers

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