Hey, Im looking for an example of a Dirichlet series , whose convergence abscissa differs from its absolute convergence abcissa, but the difference is strictly less than 1.
Can you help me, and is it clear what Im looking for?
I meant an example with an arbitrary complex s, for instance converges for Re s > 0 and converges absolutely for Re s > 1. SO the difference of the abscissa is exactly 1. I am now looking for an example where the difference is strictly between 0 and 1.