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1h
comment Help to solve $\displaystyle \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} \frac{\zeta(2s)\zeta(s-1)}{\zeta(2s-2)} \frac{x^{s}}{s} dz $
@user8268 Can't it be done explicitely?
1h
revised Help to solve $\displaystyle \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} \frac{\zeta(2s)\zeta(s-1)}{\zeta(2s-2)} \frac{x^{s}}{s} dz $
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2h
asked Help to solve $\displaystyle \frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} \frac{\zeta(2s)\zeta(s-1)}{\zeta(2s-2)} \frac{x^{s}}{s} dz $
2h
comment How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?
@user1952009, ah right, misread Perrons formula. I've read a bit on contour integrals in Edward's book on Riemann's Zeta Function. Why is $c>2$?
2h
accepted What is known about these arithmetical functions?
2h
asked Use Gröbner bases to count the 3-edge colorings of planar cubic graphs…
2h
awarded  Notable Question
7h
comment How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?
@user1952009: So it boils down to the following: Given $\frac{\zeta(2s)\zeta(s-1)}{\zeta(2s-2)}=\sum_{n=1}^{\infty} \frac{\mathrm{core}(n)}{n^{s}}$ I have to calculate $\displaystyle \mathrm{core}(x) =\frac{1}{2\pi i}\int_{c-i\infty}^{c+i\infty} \frac{\zeta(2z)\zeta(z-1)}{\zeta(2z-2)} \frac{x^{z}}{z} dz $, correct?
15h
revised How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?
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15h
revised How to use an inverse Mellin transform to get to the $\mathrm{core}(n)$?
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15h
reviewed Leave Open Show that $\langle\cdot,\cdot\rangle : E \times E \to \mathbb{R}$ is a continuous function
15h
reviewed Leave Open What are the $GL_n(F)$-orbits of a group action on the set of idempotent matrices?
15h
revised Is there matrix representation of the line graph operator?
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1d
comment On groups with presentations $ \langle a,b,c|a^2=b^2=c^2=(ab)^p=(bc)^q=(ca)^r=(abc)^s=1\rangle $…
My confusion about my substitution...
1d
comment On groups with presentations $ \langle a,b,c|a^2=b^2=c^2=(ab)^p=(bc)^q=(ca)^r=(abc)^s=1\rangle $…
Hey Derek, do you think you can help me?
Feb
7
revised How to number the left-hand turn paths of planar bicubic graphs?
edited tags
Feb
6
comment How to number the left-hand turn paths of planar bicubic graphs?
@SashaKolpakov yes, how many path for a given coloring / orientation. Is my proposed way correct? I think your worries are no problem for planar graphs...
Feb
5
comment How to number the left-hand turn paths of planar bicubic graphs?
@SashaKolpakov I restrict to planar cubic ones where a 3-edge coloring is guaranteed by the 4-color theorem. An orientation can be chosen without respect to the edge coloring, e.g. All orientations can be left (or + as in my other post...
Feb
4
comment How to find all proper colorings (four coloring) of a graph with a brute force algorithm
+1 interesting...
Feb
4
revised How to find all proper colorings (four coloring) of a graph with a brute force algorithm
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