An analogue of Selberg's formula for Motohashi's product
  We prove an analogue of Selberg's explicit formula for Motohashi's product (see arXiv:1104.1358v3 [math.NT]). We also provide a zero-density theorem for the product, which follows from Soundararajan's theorem for moments of the Riemann zeta-function on the critical line. 
Sergei Preobrazhenskii
math.NT math.CV