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Results for numerology
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4
votes
Some fusion rings/categories I don't recognize
Just a guess, but the numerology seems
to work out.
About the two last ones, what about zestings of $ch(Q_{16})$ and $ch(SD_{16})$? …
8
votes
2
answers
397
views
Permutohedron and triangulation of cube via Eulerian numbers
Question: Is there some deeper geometric connection between a triangulation of the hypercube and the permuotohedron suggested by this numerology? …
- 24.2k
1
vote
0
answers
164
views
Another Goldbach variation for odd numbers?
Dabbling in the dark art of numerology, one observes that every odd integer $2n+1\geq 5$ up to $10^7$ (where my computer got somewhat tired) can be written as
$$2n+1=p+2^kq$$
with $p$ a prime, $k$ an integer …
- 17.9k
1
vote
0
answers
91
views
Asymptotic densities of rules of elementary cellular automata
Or is the finding spurious and/or numerology? …
- 9,720
0
votes
0
answers
101
views
Almost "dense" subsets of primes (and may be not only primes)
Some criteria are not interesting if they involve digits base 10 - this is just a numerology (for example, delicate primes). …
- 185
10
votes
Which finite posets are Koszul self-dual?
Then Eulerian-ness is required by the numerology relating Hilbert series of a Koszul algebra to that of its quadratic dual, as in the reference [1, Lemma 2.11.1] by Beilinson, Ginzburg, and Soergel. …
- 186
7
votes
0
answers
142
views
Intersection of $\mathrm{PGL}_2(q_0)$'s in $\mathrm{PGL}_2(q_0^3)$
$\DeclareMathOperator\PGL{PGL}\DeclareMathOperator\GL{GL}$I would like an explanation for some strange numerology which I encountered when studying intersections of subfield subgroups in $\PGL_2(q)$. … Under this assumption we have the following remarkable numerology:
If $L\cong C_{q_0-1}$, then $|x(L)|=q_0^2+q_0 = |H: L|$.
If $L\cong C_{q_0+1}$, then $|x(L)|=q_0^2-q_0 = |H:L|$. …
- 11.2k
4
votes
Accepted
Is the weight in Serre's conjecture "minimal"?
So it has a crystalline lift with Hodge-Tate weights $(s,t) = (4,1)$ [but not $(2,1)$] and the numerology is that the Serre weight associated to this lift is $\mathrm{det}^t \otimes \mathrm{Sym}^{s-t-1 …
- 2,713
0
votes
The critical exponent function
An intense numerology session would be needed to get it closer to a proof. The problem sounds like something someone would've thought about already. …
- 6,652
10
votes
2
answers
365
views
Do Bernoulli polynomials know about face vectors?
This question is grounded firmly in numerology. It originates in an observation about some Bernoulli polynomials and the regular icosahedron. …
- 1,277
4
votes
Does every $SL_2\mathbb{C}$ representation of a closed oriented surface extend over a compac...
(at least the numerology works out, but I haven't checked it). Then one could ask for when a sum of genus 1 reps. is homologically trivial? In turn, this should be realized by a zero of an A-variety. …
- 68.9k
1
vote
Size of a multi-segment of a representation of $GL_n(F)$
I'm not sure I fully understand your notations but the numerology is as such. …
- 10.9k
9
votes
2
answers
491
views
Moore graphs and finite projective geometry
from 2009 about the hypothetical Moore graph(s) of degree 57 and girth 5, Gordon Royle offered the following observation (reproduced here in full for the sake of preservation):
Here’s some blue-sky numerology …
- 1,645
1
vote
Publishing mathematical coincidences
\tfrac12$-page paper contains nothing but "numerology"; eventually, it has led to the monstrous moonshine theory.
Also, this question seems relevant. …
2
votes
Examples of surfaces with negative Kahler curvature operator
Also, very recently (see this paper on the ArXiv) Jean-Paul Mohsen has constructed lot of examples of complete intersections in projective space with, depending on the numerology, negative holomorphic …
- 7,902