Linked Questions
10 questions linked to/from The most outrageous (or ridiculous) conjectures in mathematics
64
votes
11
answers
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What are some open problems in algebraic geometry?
What are the open big problems in algebraic geometry and vector bundles?
More specifically, I would like to know what are interesting problems related to moduli spaces of vector bundles over ...
35
votes
8
answers
4k
views
Examples of integer sequences coincidences
For the time being, the OEIS website contains almost $300000$ sequences. Each of these sequences is the mark of a specific mathematical concept. Sometimes two (or more) distinct concepts have the ...
29
votes
4
answers
5k
views
Good uses of Siegel zeros?
The short version of my question goes: What is known to follow from the existence of Siegel zeros?
A longer version to give an idea of what I have in mind: The "exceptional zeros" of course first ...
- 291
30
votes
3
answers
3k
views
Can there be an embedding j:V → L, from the set-theoretic universe V to the constructible universe L, when V ≠ L?
Main Question. Can there be an embedding $j:V\to L$ of the
set-theoretic universe $V$ to the constructible universe $L$, if
$V\neq L$?
By embedding here, I mean merely a proper class isomorphism from
$...
- 249k
43
votes
1
answer
4k
views
Complex vector bundles that are not holomorphic
Is there an example of a complex bundle on $\mathbb CP^n$ or on a Fano variety (defined over complex numbers), that does not admit a holomorphic structure? We require that the Chern classes of the ...
- 29.4k
28
votes
2
answers
3k
views
Has anyone seen a nice map of multiplicative cohomology theories?
I have seen lots of descriptions of this map in the literature but never seen it nicely drawn anywhere.
I could try to do it myself but I really lack expertise, hence am afraid to miss something or ...
- 19.6k
23
votes
1
answer
3k
views
Where does the "Hardy-Littlewood" conjecture that $\pi(x+y) \leq \pi(x) + \pi(y)$ originate?
The conjecture that $\pi(x+y) \leq \pi(x) + \pi(y)$, with $\pi$ the counting function for prime numbers, is customarily attributed to Hardy and Littlewood in their 1923 paper, third in the Partitio ...
- 3,791
3
votes
1
answer
1k
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Whence the k-tuple conjecture?
What is the source of the $k$-tuple conjecture, that every integer tuple $(k_1,\ldots,k_n)$ either contains all members of a congruence class mod a prime or has infinitely many primes amongst $(k_1+c,\...
- 9,419
1
vote
1
answer
764
views
Computability of prime difference function
Consider the following function $f: \omega\to \{0,1\}$:
Set $f(n) = 1$ if for all $k\in \omega$ there are prime numbers $p,q > k$ such that $n = p-q$, and
set $f(n) = 0$ otherwise.
(Trivially, if $...
- 56.5k
1
vote
0
answers
273
views
Who formulated the conjecture that the set of real parts of zeros of the Riemann zeta function is dense in $[0,1]$?
Does anyone know who formulated this conjecture related to Riemann's zeta function?
Conjecture. The set $$\{ x : \exists y \space \space \zeta (x+iy) = 0\}$$ is dense in $[0, 1]$.
In ...
