218 reputation
19
bio website
location Hampshire, England
age 53
visits member for 3 years, 9 months
seen Feb 15 '11 at 10:50

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.