# What are the hypothetical zeros of the Dirichlet eta function

My question is: What are the hypothetical zeros of the Dirichlet eta function (the alternating zeta function) in the critical strip. This notion is far from my understanding.

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Perhaps this recent paper will of interest to you regarding All the zeros of the Dirichlet eta function in the critical strip are on the critical line. Regards –  Amzoti Jan 3 '13 at 16:06
@ Amzoti: I will read it. Thank you very much. –  ZE1 Jan 3 '13 at 16:10
Well, since the Dirichlet eta function is the analytic continuation of the zeta function in the critical strip, its zeros there are precisely the zeros of the zeta function there and, according to the R.H., they all have real part equal to $\,0.5\,$ ...