A STIELTJES SEPARATION PROPERTY OF ZEROS OF EISENSTEIN SERIES
キーワード:
Eisenstein series,
zeros of modular forms,
separation property of zeros,
divisibility between eigenforms
2022 年 76 巻 2 号 p. 407-439
詳細
2022 年 76 巻 2 号 p. 407-439
For k < ℓ, let Ek(z) and Eℓ(z) be Eisenstein series of weights k and ℓ, respectively, for SL2(ℤ). We prove that between any two zeros of Ek(eiθ) there is a zero of Eℓ(eiθ) on the interval π/2 < θ < 2π/3.
