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visits | member for | 1 year, 3 months |
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stats | profile views | 5,982 |
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 |