Recent content by zoorna

i think i found it . using Perron's formula : \alpha(n)=\frac{1}{2\pi i}\int_{2-i\infty}^{2+i\infty}I(s)\frac{\left(n+1/2\right)^{s}-\left(n-1/2 \right )^{s}}{s}ds

i'll try to make the question a bit clearer . we have the dirichlet series : I(s)= \sum_{n=1}^{\infty}\frac{\alpha(n)}{n^{s}} , \Re(s)>1 where \alpha(n) is some arithmetic function of n . now i am trying to use mellin transform, or any kind of transform akin to that of fourier's, to...

greetings . this is my first post here . i am preparing myself for a complex analysis course that i will be taking next semester . i came across this problem , which is probably a very simple one , but i don't know how to go about it , so bare with me:biggrin: we have the contour integration...