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May
26 |
awarded | Popular Question |
May
9 |
awarded | Popular Question |
Jul
6 |
awarded | Yearling |
Feb
15 |
answered | Partitioning the integers $1$ through $n$ so that the product of the elements in one set is equal to the sum of the elements in the other |
Aug
26 |
comment |
Emergence of English as the dominant mathematical language
Although a lot of major journals will still accept articles written in languages other than English, I wonder what role the requirements of some journals has played in this shift. |
Aug
11 |
comment |
What's your favorite equation, formula, identity or inequality?
I just found the result you gave on wikipedia and it is derived using Eisenstein series, which is how I obtained my identities for the tau function, so I believe my proof of this result is pretty similar to what you had in mind. |
Aug
11 |
awarded | Commentator |
Aug
11 |
comment |
What's your favorite equation, formula, identity or inequality?
This result drops out easily from a couple of identities for Ramanujan's tau function that I published in my 1993 thesis: \tau(n) = 60 \sum_{k=0}^n (n-3k)(2n-3k)s_3(k)s_3(n-k) and \tau(n)=n^2s_7(n) – 540 \sum_{k=1}^{n-1} k(n-k)s_3(k)s_3(n-k), where s_3(0)=1/240 (for s read \sigma). What proof are you referring to? Thanks. |
Aug
11 |
comment |
On the constants in the Cameron-Erdös conjecture on sum-free subsets.
Many thanks Hugo. |
Aug
11 |
comment |
On the constants in the Cameron-Erdös conjecture on sum-free subsets.
Interesting. I wonder why the constants were given in the form you stated in the review of the Sapozhenko paper. (Please could someone email me a copy. My address is namesurname@ntlworld.com, just substitute my real name and surname. Thanks.) Yes, it looks like there could be disagreement between the values but perhaps in the translation in Discrete Math Appl. they are given in another form, so the two papers aren't talking about exactly the same constants. Please could someone email me a copy of the K G Omel'yanov paper too, as I would like to try and resolve this discrepancy. Thanks. |
Aug
10 |
revised |
On the constants in the Cameron-Erdös conjecture on sum-free subsets.
know -> known |
Aug
10 |
asked | On the constants in the Cameron-Erdös conjecture on sum-free subsets. |
Aug
9 |
revised |
Non-English language Mathematical podcasts/audio
Removal of tag "big-list" as it seems a little ironic. |
Aug
8 |
comment |
Non-English language Mathematical podcasts/audio
No, I was not aware of their site. Actually, I was not that hopeful when I posted the question, so even one link is very much appreciated. Thanks! |
Aug
7 |
asked | Non-English language Mathematical podcasts/audio |
Aug
7 |
answered | Mathematical podcasts/audio |
Aug
6 |
comment |
Is the probability that n and phi(n) (totient function) are coprime one for random squarefree n?
Thanks. I should have thought about it a little longer. It was the presence of the term 6/π^2 in the average order of φ(n)/n that caused a some overly hasty excitement :-) |
Aug
6 |
awarded | Editor |
Aug
6 |
revised |
Is the probability that n and phi(n) (totient function) are coprime one for random squarefree n?
Hoping to make the question more clear. |
Aug
6 |
comment |
Is the probability that n and phi(n) (totient function) are coprime one for random squarefree n?
What I'm asking is does the proportion of squarefree integers <= N, say, for which gcd(n,phi(n))>1 (1<=n<=N) tend to zero as N tends to infinity? Sorry if this was not clear. |