Lucia
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 Dec 29 comment A combinatorial problem The question at present reads fine to me, but note that this is your fourth attempt at formulating this (in under one hour), and perhaps you could have put in the effort to formulate the question carefully before posting. I can't know of course, but that may have influenced the down vote/close vote. Dec 29 reviewed Leave Open A combinatorial problem Dec 29 comment Asymptotic growth rate of coefficients of generating function Just because the radius of convergence is $\rho$ does not mean that $S(z)$ goes to infinity as $z\to \rho$. For example, consider $\sum_{n=1}^{\infty} z^n/n^2$. Dec 27 comment Asymptotic growth rate of coefficients of generating function Since only odd powers appear here, you probably also want to add in a contribution of the form $(-\rho)^{-n}$ etc. Dec 27 reviewed Leave Open Equation which has nontrivial solutions modulo $N$ for every $N \ge 2$ does not have any nontrivial integer solutions Dec 24 reviewed Close A Chess Question Of The Late Great W.T.Tutte Dec 20 comment Which even numbers are known to be both prime gaps and the sum of 2 primes? Dec 19 reviewed Leave Open Equation which has nontrivial solutions modulo $N$ for every $N \ge 2$ does not have any nontrivial integer solutions Dec 18 comment If $N = {q^k}{n^2}$ is an odd perfect number given in Eulerian form, is $n$ squarefree? It is absurd that someone chose to vote down this answer! (It took me a little effort to parse your answer -- maybe it would be clearer if the first line said something like: No: if an odd perfect number exists, then $n$ must necessarily contain a square factor.") Dec 18 awarded Enlightened Dec 18 awarded Nice Answer Dec 17 answered What's special about the circle problem? Dec 17 comment What is known about $\sum_{n \leq x} \mu(n) \varphi(n)$? You might need to change your explicit formula a bit -- there'll be $1/\zeta^{\prime}(\rho)$'s in the denominator. So like with the usual partial sums of the Mobius function, this would be a bit more painful to work with than the analogs for $\psi(x)$. Dec 14 awarded Enlightened Dec 14 awarded Nice Answer Dec 14 comment Particular case of the class number formula, Dirichlet characters The first one you can write as $\int_0^1 (1-t^2+t^4-t^6+\ldots) dt = \int_0^1 dt/(1+t^2)$, and compute the integral. The second you can write as $\int_0^1 (1-t-t^2+t^3)/(1-t^5) dt$, and again this is the integral of a rational function which can be computed by partial fractions. (This one is trickier than the first, but still fun -- the substitution $y=t+1/t$ will be useful.) Dec 14 answered Realization of numbers as a sum of three squares via right-angled tetrahedra Dec 13 comment Upper bounds on the difference of consecutive zeta zeros Wasn't this already given in Micah's answer? Dec 13 reviewed Close Testing $0$ for a determinant like function Dec 13 comment Testing $0$ for a determinant like function This is called the permanent and is notoriously hard to compute efficiently.