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Results tagged with reference-request
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user 3206
This tag is used if a reference is needed in a paper or textbook on a specific result.
2
votes
Cyclotomic polynomials: $\Phi_n(p)$ is like $p^{\phi(n)}$ for big enough $p$, right?
I've decided to simplify the argument found in notes of Jameson, and at the same time improve the bounds and ranges of applicability. I'm rewriting for the purpose of understanding and the specific g …
- 3,209
19
votes
3
answers
2k
views
Cyclotomic polynomials: $\Phi_n(p)$ is like $p^{\phi(n)}$ for big enough $p$, right?
Apologies in advance if this turns out to be simple. So far I haven't found a proof or a reference.
Although I like $p$ to be a prime, I can ask the following for positive integers $n$ and $p$, usin …
- 3,209
0
votes
When is a sequence the sum of two Beatty sequences?
This is the closest I can come to a positive test, but I don't know how well it will work for you. It is essentially taking the intersection of possible solution sets.
Let us cut down on symmetry by …
- 3,209
0
votes
Accepted
A question on the bounds of the $n$-th composite $c_n$
I assume $p_n \gt m \gt n$ in the inequality. I have a feeling that this will be as challenging as $\pi(x) + \pi(y) \gt \pi(x+y)$ to solve. The essence to me is that
composites are sparsest (primes …
- 3,209
15
votes
Do's and don'ts of writing survey papers
Since you plan to submit it to be part of the conference proceedings, the editor(s) of those proceedings are likely the best people to ask. I would go to them for critical information such as length, …
2
votes
Is there an official name for this prohibited word pattern?
I recommend looking at Balanced Incomplete Block Designs. They have some features which resemble (my interpretation of) your scenario.
Each block maps to a word (usually a block is a set, so order o …
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2
votes
How many sequences of rational squares are there, all of whose differences are also rational...
Here is an attempt at a cleaner exposition for problem (1'); although I take full credit/blame for the exposition, it is based on ideas posted by Barry Cipra, Gjergji Zaimi, and joro.
Let me define …
- 3,209