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Nov
4
reviewed Approve suggested edit on Bounded approximate identity and kernel of algebra homomorphism
Nov
4
comment Sequences with integral means
@JosephO'Rourke: Thanks! Yes the $2/\sqrt{\pi}$ was a surprise.
Nov
3
answered Sequences with integral means
Nov
3
reviewed Approve suggested edit on Is there an infinite group with exactly two conjugacy classes?
Nov
2
comment transcendence of periods of CM elliptic curves
For a different take, you could consult Chapter 6 of Baker's book on Transcendental Number Theory. I haven't checked carefully, but maybe Theorem 6.7 and/or the discussion in that chapter will be of use.
Nov
2
comment Sequences with integral means
@SergeiIvanov: very nice indeed!
Nov
2
comment Sequences with integral means
Doesn't the mean have to decrease at each step (or stay the same)? Wouldn't that show it stabilizes? I would also guess that typically the final answer would be about $\sqrt{n}$; I'd be surprised if it were monotone in $n$.
Oct
31
reviewed No Action Needed What books approach group theory through transformation/permutation groups?
Oct
31
answered Asymptotic density of k-almost primes
Oct
30
awarded  Quorum
Oct
30
awarded  Deputy
Oct
29
awarded  Revival
Oct
29
revised How long does it take to compute a class number?
added 430 characters in body
Oct
29
answered How long does it take to compute a class number?
Oct
29
comment Are there any known non-trivial functions that takes on squarefree values with the right density?
Oops -- should have been $6/\pi^2$ everywhere rather than $\pi^2/6$.
Oct
28
revised Are there any known non-trivial functions that takes on squarefree values with the right density?
added 502 characters in body
Oct
28
comment Are there any known non-trivial functions that takes on squarefree values with the right density?
To Terry Tao: My understanding was that the question wants the density to be exactly $\pi^2/6$ (but the question is not completely clear on this point). I doubt that this holds for a polynomial (we can evaluate that only for polynomials of small degree; but assuming the appropriate conjecture I don't think the answer can be arranged to be $\pi^2/6$). For the PS example, the answer is exactly $\pi^2/6$.
Oct
28
answered Are there any known non-trivial functions that takes on squarefree values with the right density?
Oct
28
comment Are there any known non-trivial functions that takes on squarefree values with the right density?
I would guess that the Piatetski-Shapiro sequence $[n^c]$ for some $c$ just a little larger than $1$ would have this property.
Oct
28
reviewed Approve suggested edit on Flipping coins on a budget