Giovanni De Gaetano
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 Apr24 revised When are heat kernels only dependent on the distance? edited title Apr23 revised When are heat kernels only dependent on the distance? added 1 character in body Apr23 asked When are heat kernels only dependent on the distance? Apr20 awarded Yearling Apr2 answered If $a,b,c$ are integers such that $4a^3+2b^3+c^3=6abc$, is $a=b=c=0$? Apr2 awarded Popular Question Mar27 comment Closed form for $\sum_{k=1}^\infty \frac{k+1}{q^{k(k+n)}}$ @nayrb Thanks, actually I tried to complete the squares, isolating then the $k^2$-factor, but the question I linked doesn't seem to provide any closed form for the series I'm interested into. Or am I missing something? Mar27 revised Closed form for $\sum_{k=1}^\infty \frac{k+1}{q^{k(k+n)}}$ deleted 6 characters in body Mar27 comment Closed form for $\sum_{k=1}^\infty \frac{k+1}{q^{k(k+n)}}$ Sorry, my fault, $q>1$!! I edit the question! Mar27 asked Closed form for $\sum_{k=1}^\infty \frac{k+1}{q^{k(k+n)}}$ Mar25 asked Explicit value of $\overline{\mathcal{O}}_{\mathbb{P}^1(\mathbb{Z})}(1).\overline{\mathcal{O}}_{\mathbb{P}^1(\mathbb{Z})}(1)$ Mar23 comment Fubini-Study norm of homogeneus polynomials @TedShifrin Thanks! Evaluating $\int_{\mathbb{P^1}} \omega_{FS}$ is exactly what made me suspicious in the first place. By breaking the integral in the two domains $\{|\zeta_0|<1\}$ and $\{|\zeta_1|<1\}$ and switching to polar coordinates I reduce it to $2\cdot \int_0^{2\pi} \int_0^1 \frac{r}{(1+r^2)^2} dr \wedge d\theta$, which integrates to $2\pi \left[ \frac{r}{1+r^2} +\arctan(r)\right]_0^1 = \pi + \pi^2/4$. But this is not what I expected! On one hand I could ask you to check my computation, but on the other one it would be easier just to get a reference to somewehere where it's done! Mar23 asked Fubini-Study norm of homogeneus polynomials Mar1 comment Smoothly Equivalent Curves I don't know what kind of regularity do you assume for curves; but if one of the two is only continuous and the other one is $\mathcal{C}^1$ they cannot be smoothly equivalent, otherwise the former would be $\mathcal{C}^1$ as well. Feb20 comment If $\{f_1,…,f_n\}$ generate $R$ then does $\{f_1^N,…,f_n^N\}$ @user26857 Thanks! I'm sorry for the sloppiness in the example, I just tried to rapidly concretize a stomach feeling... Feb19 comment If $\{f_1,…,f_n\}$ generate $R$ then does $\{f_1^N,…,f_n^N\}$ But if the ring does not have a unity I think the statement is false. Indeed one can consider the ring of even integers, which is generated by $2$ but not by $4$. Right? Feb15 comment Lebesgue-Integrability of $x \mapsto \frac{\sin x}{x}$ @Mary Star I edited the answer to extend the hint. Feb15 revised Lebesgue-Integrability of $x \mapsto \frac{\sin x}{x}$ I extended the hint, as requested by the OP. Feb14 comment Show that the space $C^{0, \gamma}(U)$ is complete All your last 10 questions (not to go too far in the past) received an upvoted answer, none of them got accepted. Would you mind either accepting them or let the answerers know how they can improve on their work? Thanks for your cooperation. Feb11 comment Function for encryption/decryption - What is $n \phi(n)$? All your last 10 questions (not to go too far in the past) received an upvoted answer, none of them got accepted. Would you mind either accepting them or let the answerers know how they can improve on their work? Thanks for your cooperation.