@article {Bauer:April 2007:0236-5294:13, author = "Bauer, C.", author = "Wang, Y.", title = "Real zeros of Eisenstein series and Rankin-Selberg L-functions", journal = "Acta Mathematica Hungarica", volume = "115", year = "April 2007", abstract = "We prove that the Eisenstein series E(z, s) have no real zeroes for s ∈ (0, 1) when the value of the imaginary part of z is in the range <EquationSource Format="TEX"><![CDATA[ $$tfrac{1}{5}$$ ]]></EquationSource> < Im z < 4.94. For very large and very small values of the imaginary part of z, E(z, s) have real zeros in (½, 1), i.e. GRH does not hold for the Eisenstein series. Using these properties, we prove that the Rankin-Selberg L-function attached with the Ramanujan τ-function has no real zeros in the critical strip, except at the central point s = ½.", pages = "13-27(15)", url = "http://www.ingentaconnect.com/content/klu/amhu/2007/00000115/F0020001/00005102" doi = "doi:10.1007/s10474-007-5102-1" }