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Nicco
  • Member for 8 years, 7 months
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  • South Africa
44 votes
2 answers
1k views

a conjectured continued fraction for $\tan\left(\frac{z\pi}{4z+2n}\right)$

26 votes
2 answers
1k views

a new continued fraction for $\sqrt{2}$

17 votes
3 answers
936 views

conjectured general continued fraction for the quotient of gamma functions

16 votes
1 answer
1k views

a conjectured continued-fraction for $\displaystyle\cot\left(\frac{z\pi}{4z+2n}\right)$ that leads to a new limit for $\pi$

12 votes
3 answers
907 views

Ramanujan theta function and its continued fraction

10 votes
1 answer
261 views

are these two continued fractions equivalent?

9 votes
2 answers
370 views

a conjecture of certain q-continued fractions

9 votes
2 answers
318 views

the ratio of jacobi theta functions and a new conjectured q-continued fraction

9 votes
1 answer
570 views

Does the Rogers-Ramanujan continued fraction $R(q)$ satisfy this conjectured infinite series

7 votes
1 answer
354 views

A new $q$-continued fraction of order $12$

6 votes
0 answers
268 views

a q-continued fraction related to the octahedral group

6 votes
2 answers
939 views

The ratio of jacobi theta functions

6 votes
2 answers
194 views

Does the elliptic function $\operatorname{cn}\left(\frac{2}{3}K\left(\frac{1}{2}\right)\big|\frac{1}{2}\right)$ have a closed form?

6 votes
1 answer
304 views

conjectured new generating function of fibonacci numbers

6 votes
1 answer
506 views

primes generated by a continued fraction

6 votes
1 answer
275 views

Conjectured continued fraction for the Generalized Rogers-Ramanujan continued fraction

6 votes
2 answers
300 views

Conjectured identity for the ratio of Ramanujan theta functions

5 votes
1 answer
519 views

Link between the negative pell equation $x^2-dy^2=-1$ and a certain continued fraction

5 votes
1 answer
401 views

a continued fraction related to pythagoras theorem $a^2+b^2=c^2$

5 votes
2 answers
305 views

a certain simple continued fraction

5 votes
1 answer
1k views

How to solve the Brioschi quintic in terms of elliptic functions?

4 votes
1 answer
334 views

conjectured identity of the product of two theta functions

4 votes
1 answer
219 views

conjecture about primes and a certain q-series.

4 votes
3 answers
1k views

Ramanujan's tau function identity

4 votes
1 answer
185 views

What is the limit $\lim_{q\to 1} \vartheta_{2}^{2}(q)(1-q)$

4 votes
2 answers
702 views

A theta function around its natural boundary

4 votes
1 answer
732 views

Proof of Jacobi triple product using Ramanujan's notation

4 votes
1 answer
277 views

How do we prove this continued fraction for the quotient of gamma functions

4 votes
1 answer
131 views

Two dissimilar continued fractions that are equivalent $F(q)=G(q)$

3 votes
4 answers
113 views

proof that $n^4+22n^3+71n^2+218n+384$ is divisible by $24$