Interlacing of zeros of the Eisenstein series for Γ0+(2)

초록

We prove that for a = 2, 4, if k >= 16 is an even integer, then the non-trivial zeros of Ek+ and Ek++a for Gamma 0+(2) interlace on the arc of the fundamental domain for the Fricke group Gamma 0+(2) of level 2, where Ek+(z) is the Eisenstein series for Gamma 0+(2).

키워드