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Results for numerology
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156
votes
52
answers
23k
views
Experimental mathematics leading to major advances
multiple zeta values to renormalized Feynman integrals; Thistlethwaite's discovery of links with trivial Jones polynomial; The Monstrous Moonshine; McKay's account on experimentation leading to mysterious "numerology …
66
votes
Accepted
There's something strange about $\sqrt{\big(j(\tau)-1728\big)d}$
"Numerology" such as you've observed is explained in the paper
Gross, B.H., and Zagier, D.: On singular moduli, J. reine angew. Math. 355 (1985), 191$-$220. …
- 79.9k
53
votes
1
answer
5k
views
There's something strange about $\sqrt{\big(j(\tau)-1728\big)d}$
C_d$ divisible by $67$ intersect with,
$$Q_1(n) = n^2+n+17 = 17, 19, 23, 29, 37, 47, 59, 73, 89,\dots$$
and,
$$Q_2(n) = 4n^2+67 = 67, 71, 83, 103,\dots$$
Q: Does anybody know the reason for this "numerology …
- 12.6k
35
votes
1
answer
2k
views
Ramanujan's $\tau(n)$ and continued fractions
Anything that's true is likely to be quite deep, so a more realistic (but vague) question is:
Are there other examples of this kind of 'numerology'? …
- 11.1k
29
votes
1
answer
2k
views
High-Dimensional Analogs of Polygon Spaces
In between the simple numerology and the complicated spaces we can identify some intermediate objects: the tangent vector spaces. … Details: From numerology to spaces
Numerology --->>> Linear algebra (vector spaces) --->>> Varieties/spaces.
1) The Numerology:
The numerology refers to the dimension of our hypothetical analogs for …
- 24.7k
27
votes
Is $\zeta(3)/\pi^3$ rational?
threaded=1&p=2 it says,
"Re: Numerology about the Apery Constant $\zeta(3)$
"I also attempted to use PSLQ to figure out whether
$\zeta(3)/\pi^3$
was a low-degree low-height algebraic number. …
- 39.9k
26
votes
Unexpected $\sqrt{3}$
this is a limit of a more general result by Majumdar and company, How many eigenvalues of a Gaussian random matrix are positive? (2010), see also their earlier papers from 2006 and 2008.
The coeffici …
- 188k
26
votes
1
answer
1k
views
probability of zero subset sum
Almost 17 years ago, I asked the following question on USENET, motivated by a method in numerology (I kid you not).
Pick integers $n \ge 2$, $k \ge 1$. Toss $n$ $k$-sided dice. …
- 37.7k
23
votes
Accepted
Which PDE from physics (and geometry) are supercritical?
One can certainly perform the relevant dimensional analysis on other fluid equations (e.g. quasi-geostrophic), but I don't recall the exact numerology off-hand. …
- 114k
22
votes
3
answers
2k
views
Number of triples of roots (of a simply-laced root system) which sum to zero
In a paper 1105.5073, the authors took a simply-laced root system $\Delta$ of type $G=A,D,E$, and then counted the number of unordered triples $(\alpha,\beta,\gamma)$ of roots which sum to zero: $\al …
- 6,123
22
votes
1
answer
4k
views
21
votes
3
answers
3k
views
When is $n/\ln(n)$ close to an integer?
As Gjergji immediately
notified, that question was from numerology. …
- 13.5k
17
votes
1
answer
2k
views
Adams' theorems on the Hopf-Whitehead J-homomorphism
It follows from the
Adams conjecture and some Bernoulli numerology. …
- 20.9k
16
votes
1
answer
777
views
Are there F_un Lie algebras ?
What numerology should correspond to gl_n(F_1) ? I.e. are there some numbers related to
gl_n(F_q) which have a limit when q->1 (may be renormalized like with GL_n(F_q)) ? …
- 24.9k
15
votes
12
answers
6k
views
Alternatives to pi day [closed]
To non-mathematicians, it gives the impression that mathematics is about voodoo numerology, memorizing (or computing) digits of pi, and bad puns. …