as a Dirichlet series, i.e. as a series of the form
where is any complex sequence.
Who can help?
I'm not sure I follow you, but what if you define ? This certainly will do the trick...
Now perhaps you're on to something else, since is the first step to express the zeta function as an Euler product, so...well, so who knows what you're on to actually.
I'm not sure I follow you, but what if you define ? This certainly will do the trick...
Now perhaps you're on to something else, since is the first step to express the zeta function as an Euler product, so...well, so who knows what you're on to actually.
Tonio
I'm sorry I didnt clarify this, should not depend on s or anything else, otherwise its trivial ^^.
Originally Posted by NonCommAlg
i have a good reason to believe that also works but i need some time to prove it. EDIT: it's actually very easy to prove!
I also found that result online, but I don't see how to prove this , can you help?