INTERLACING OF ZEROS OF EISENSTEIN SERIES

Abstract

. Let E k ( z ) be the normalized Eisenstein series of weight k for the full modular group SL ( 2 , Z ) . Let a > 0 be an even integer. In this paper we completely determine when the zeros of E k interlace with the zeros of E k + a . This generalizes a result of Nozaki on the interlacing of zeros of E k and E k + 12 .