Abstract
We locate the zeros of the modular forms Ek2(τ)+E2k(τ),Ek3(τ)+E3k(τ), and Ek(τ)El(τ)+Ek+l(τ), where Ek(τ) is the Eisenstein series for the full modular group SL2(Z). By utilizing work of F.K.C. Rankin and Swinnerton-Dyer, we prove that for sufficiently large k,l, all zeros in the standard fundamental domain are located on the lower boundary A={eiθ:π/2≤θ≤2π/3}.
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