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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?
See arxiv.org/pdf/1410.8198.pdf
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.