Editing Dirichlet eta function (section)

==Zeros==
The [[Zero (complex analysis)|zeros]] of the eta function include all the zeros of the zeta function: the negative even integers (real equidistant simple zeros); the zeros along the critical line, none of which are known to be multiple and over 40% of which have been proven to be simple, and the hypothetical zeros in the critical strip but not on the critical line, which if they do exist must occur at the vertices of rectangles symmetrical around the ''x''-axis and the critical line and whose multiplicity is unknown. {{citation needed|date=February 2020}} In addition, the factor <math>1-2^{1-s}</math> adds an infinite number of complex simple zeros, located at equidistant points on the line <math>\Re(s) = 1</math>, at <math>s_n=1+2n\pi i/\ln(2)</math> where ''n'' is any nonzero [[integer]].

The zeros of the eta function are located symmetrically with respect to the real axis and under the [[Riemann hypothesis]] would be on two parallel lines <math>\Re(s)=1/2, \Re(s)=1</math>, and on the perpendicular half line formed by the negative real axis.