List questions from q-series

Published on 09 Nov 2014 - 7:50

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improper integrals in q-calculus

Published on 24 Mar 2026 - 23:42

146

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double integrals on quantum calculus

Published on 25 Mar 2026 - 4:01

373

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Show that $\prod\limits_{n=1}^\infty \frac{(1-q^{6n})(1-q^n)^2}{(1-q^{3n})(1-q^{2n})}=\sum\limits_{n=-\infty}^\infty q^{2n^2+n}-3q^{9(2n^2+n)+1}$.

Published on 19 Mar 2026 - 16:55

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Reference request: $q$-gamma, $q$-polygamma, $q$-Pochhammer.

Published on 20 Jan 2020 - 1:10

412

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how to prove these formulas about infinite product?

Published on 20 Apr 2020 - 0:45

152

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Asymptotics of the quantum dilogarithm

Published on 21 Apr 2020 - 22:35

256

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An equivalent of Jacobi's two square theorem

Published on 19 May 2020 - 16:28

366

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What are specific proofs of Jacobi Triple Product Identity?

Published on 26 Jun 2020 - 11:44

250

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what is the expansion for $\log \sum q^{n^2}$?

Published on 18 Aug 2016 - 18:28

112

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What are the $q$ Power Series?

Published on 27 Jan 2017 - 19:26

204

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Proving $\frac 1{R(q)}-1-R(q)$ (Ramanujan's formula)

Published on 28 Jan 2017 - 22:46

539

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Relation between Ramanujan Theta Function and Jacobi Theta Function

Published on 16 Feb 2017 - 7:48

218

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Parity of Ramanujan's Tau Function

Published on 20 Mar 2017 - 19:20

98

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Identity involving q-Pochhammer symbols -- "Normalization"

Published on 07 Feb 2023 - 21:29

List Question

How to prove the $q$-series identity?

improper integrals in q-calculus

double integrals on quantum calculus

Show that $\prod\limits_{n=1}^\infty \frac{(1-q^{6n})(1-q^n)^2}{(1-q^{3n})(1-q^{2n})}=\sum\limits_{n=-\infty}^\infty q^{2n^2+n}-3q^{9(2n^2+n)+1}$.

Reference request: $q$-gamma, $q$-polygamma, $q$-Pochhammer.

how to prove these formulas about infinite product?

Asymptotics of the quantum dilogarithm

An equivalent of Jacobi's two square theorem

What are specific proofs of Jacobi Triple Product Identity?

what is the expansion for $\log \sum q^{n^2}$?

What are the $q$ Power Series?

Proving $\frac 1{R(q)}-1-R(q)$ (Ramanujan's formula)

Relation between Ramanujan Theta Function and Jacobi Theta Function

Parity of Ramanujan's Tau Function

Identity involving q-Pochhammer symbols -- "Normalization"

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