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Results tagged with open-problems
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user 26522
If it turns out that a problem is equivalent to a known open problem, then the open-problem tag is added. After that, the question essentially becomes, "What is known about this problem? What are some possible ways to approach this problem? What are some ways that people have tried to attack it before, and with what results?"
13
votes
Open problems in Berkovich geometry
I do not know if this falls within the scope of your question, and moreover I do not have a specific reference to point to, but there are certainly plenty of unsolved questions involving the dynamics …
- 13.8k
33
votes
Proposals for polymath projects
One of Imre Ruzsa's problems [1], from 1971, asked for the slowest possible exponential growth rate of a mapping $f : \mathbb{N} \to \mathbb{Z}$ that is not a polynomial and yet shares with (integer) …
14
votes
Not especially famous, long-open problems which anyone can understand
Imre Ruzsa conjectured in 1971 (Mat. Lapok 22, in Hungarian) that a congruence-preserving mapping $f : \mathbb{N} \to \mathbb{Z}$ is a polynomial as soon as the power series $A(t) := \sum_{n \in \math …