Question

factoring infinite products of $q$-series with constant term equal to 1

score 163 · Answer 1 · 2012-02-10 12:44:36

163

Views

factoring infinite products of $q$-series with constant term equal to 1

Published on 10 Feb 2012 - 12:44

score 965 · Answer 2 · 2012-02-11 08:11:01

965

Views

Combinatorial interpretation of this identity of Gauss?

Published on 11 Feb 2012 - 8:11

score 6.5k · Answer 3 · 2012-10-15 03:52:46

6.5k

Views

Proving q-binomial identities

Published on 15 Oct 2012 - 3:52

score 446 · Answer 4 · 2012-11-23 20:41:50

446

Views

$\log P(e^{-2\pi t}) - \log P(e^{-2\pi /t}) = \frac{\pi}{12} \Bigl( \frac{1}{t} - t \Bigr)+ \frac{1}{2} \log t$

Published on 23 Nov 2012 - 20:41

score 1.6k · Answer 5 · 2013-01-18 02:11:13

1.6k

Views

Book Recommendation for Integer partitions and $q$ series

Published on 18 Jan 2013 - 2:11

score 797 · Answer 6 · 2026-02-25 14:51:36

797

Views

Show $1+\frac{8q}{1-q}+\frac{16q^2}{1+q^2}+\frac{24q^3}{1-q^3}+\dots=1+\frac{8q}{(1-q)^2}+\frac{8q^2}{(1+q^2)^2}+\frac{8q^3}{(1-q^3)^2}+\dots$.

Published on 25 Feb 2026 - 14:51

score 143 · Answer 7 · 2020-09-07 06:42:53

143

Views

Mellin transform of $\sin(\pi x)\left(\frac{d}{dx}\log\left(x;j^{-1}\right)\right)$

Published on 07 Sep 2020 - 6:42

score 55 · Answer 8 · 2020-09-15 17:10:15

55

Views

$q$-expansion of Klein's absolute invariant using infinite products

Published on 15 Sep 2020 - 17:10

score 95 · Answer 9 · 2020-10-26 06:53:03

95

Views

Is it true that $\frac 1q=\sum\limits_{\text{prime }p}^{\infty}\frac{1}{q^{p-1}-1}$ for all $q\notin[-1,1]$?

Published on 26 Oct 2020 - 6:53

score 161 · Answer 10 · 2026-03-25 06:04:54

161

Views

Modularity of Ramanujan-Sato series

Published on 25 Mar 2026 - 6:04

score 64 · Answer 11 · 2020-11-17 22:32:55

64

Views

Concerning the coefficient $[q^n]\sum_{n\ge1}\frac{(aq)^n}{(1-bq^n)^2}$.

Published on 17 Nov 2020 - 22:32

score 103 · Answer 12 · 2021-01-03 21:09:33

103

Views

Counting colored integer partitions with a strictness condition

Published on 03 Jan 2021 - 21:09

score 119 · Answer 13 · 2021-01-20 03:18:37

119

Views

Symbolic calculation vs. desmos

Published on 20 Jan 2021 - 3:18

score 73 · Answer 14 · 2021-01-22 23:47:50

73

Views

coefficient $[q^n]\sum_{m\ge1}\frac{q^{\alpha m}}{1-q^{\beta m}}$ where $0<\alpha<\beta$

Published on 22 Jan 2021 - 23:47

score 403 · Answer 15 · 2021-01-26 09:43:35

403

Views

Relation between Rogers Ramanujan continued fraction and $j$-invariant

Published on 26 Jan 2021 - 9:43

List Question

factoring infinite products of $q$-series with constant term equal to 1

Combinatorial interpretation of this identity of Gauss?

Proving q-binomial identities

$\log P(e^{-2\pi t}) - \log P(e^{-2\pi /t}) = \frac{\pi}{12} \Bigl( \frac{1}{t} - t \Bigr)+ \frac{1}{2} \log t$

Book Recommendation for Integer partitions and $q$ series

Show $1+\frac{8q}{1-q}+\frac{16q^2}{1+q^2}+\frac{24q^3}{1-q^3}+\dots=1+\frac{8q}{(1-q)^2}+\frac{8q^2}{(1+q^2)^2}+\frac{8q^3}{(1-q^3)^2}+\dots$.

Mellin transform of $\sin(\pi x)\left(\frac{d}{dx}\log\left(x;j^{-1}\right)\right)$

$q$-expansion of Klein's absolute invariant using infinite products

Is it true that $\frac 1q=\sum\limits_{\text{prime }p}^{\infty}\frac{1}{q^{p-1}-1}$ for all $q\notin[-1,1]$?

Modularity of Ramanujan-Sato series

Concerning the coefficient $[q^n]\sum_{n\ge1}\frac{(aq)^n}{(1-bq^n)^2}$.

Counting colored integer partitions with a strictness condition

Symbolic calculation vs. desmos

coefficient $[q^n]\sum_{m\ge1}\frac{q^{\alpha m}}{1-q^{\beta m}}$ where $0<\alpha<\beta$

Relation between Rogers Ramanujan continued fraction and $j$-invariant

Trending Questions

Popular # Hahtags

Popular Questions