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comment How many numbers are less than million such that their digits sum is $\le 19$?
@jj172 I think that this does answer one of the two questions that were asked. Actually to me it is a better answer than just "the coefficient of $x^{19}$ in the following expression". Don't feel discouraged because someone downvoted your answer, there are other people like me, who value computational answers like this one just as much as a more theoretical one.
Aug
14
comment Clarification on The Trichotomy Law
I suppose you mean [trichotomy law](en.wikipedia.org/wiki/Trichotomy_(mathematics).
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Jun
17
comment How to show that $\int \limits_{-\infty}^{\infty} (t^2+1)^{-s} dt = \pi^{1/2} \frac{ \Gamma(s-1/2)}{\Gamma(s)}$
Thank you Lucian, it worked perfectly.
Jun
17
accepted How to show that $\int \limits_{-\infty}^{\infty} (t^2+1)^{-s} dt = \pi^{1/2} \frac{ \Gamma(s-1/2)}{\Gamma(s)}$
Jun
17
asked How to show that $\int \limits_{-\infty}^{\infty} (t^2+1)^{-s} dt = \pi^{1/2} \frac{ \Gamma(s-1/2)}{\Gamma(s)}$
May
28
comment Given $f:(0,\infty ) \to \mathbb{R}$ Can we say that $\lim_{x\to \infty} f(x)$ exists?
I would guess that by saying does "finite $\implies$ $f$ is bounded"?, the OP means to ask if it is the case that having a finite limit when $x \rightarrow \infty$ implies that $f$ is bounded on $(0,\infty)$. But this is just a guess.
Apr
23
answered A question of algebraic geometry applied to field theory