Lucia
Reputation
21,627
Next privilege 25,000 Rep.
 2d reviewed Close Advice on dealing with the gap 2d comment Advice on dealing with the gap AA should ask their advisor for advice -- that's what advisors are for! Feb 8 reviewed No Action Needed Grothendieck, A Place to Begin Feb 8 reviewed Reviewed calculus integral with logs Feb 7 comment If the natural density (relative to the primes) exists, then the Dirichlet density also exists, and the two are equal This follows just by partial summation, and would have been known to everyone. For example, how did Chebyshev know that the limit in the prime number theorem, if it exists, must be one? Feb 6 reviewed Close Algebra math word problem to be solved using elimination or substitution method Feb 6 reviewed Leave Open Greatly expanded new edition of a Bourbaki chapter on algebra? Feb 5 comment Asymptotics of product of Euler's totient function (A001088)? Yes and it equals $\frac{1}{e}\prod_p (1-1/p)^{1/p}$. Feb 4 reviewed Leave Open Does the sum $\sum_{n=1}^{\infty}\frac{1}{p_n(p_{n+1}-p_n)}$ converge? Feb 2 comment natural radical and an algebraic expression in $\pi$ and/or $e$ I didn't really have anything to add to that one line. By all means include it in the question. (Ok here's one more line to go with my comment: the same constant also appeared in an old asymptotic formula of Bateman to count the number of integers $n$ for which $\phi(n)\le x$. This is why I recognized the Euler product at once, but it is just a coincidence.) Feb 1 reviewed Close Hypothesis testing for independent and non-identical distribution Jan 30 comment natural radical and an algebraic expression in $\pi$ and/or $e$ $\zeta(2)\zeta(3)/\zeta(6)$. Jan 28 revised Upper bound on answer for Pell equation added 678 characters in body Jan 28 awarded Nice Answer Jan 28 revised Upper bound on answer for Pell equation added 1124 characters in body Jan 27 comment Upper bound on answer for Pell equation You only get from this a bound of $\exp(p^{1/2+\epsilon})$. Please see argument in my answer below. Jan 27 answered Upper bound on answer for Pell equation Jan 27 reviewed Reviewed Binomial Expansion for non-commutative setting Jan 27 reviewed No Action Needed Pointwise convergence of Fourier series, Fefferman's article Jan 25 reviewed Leave Open Polynomial factoring over finite fields