Functional equation and zeros on the critical line of the quadrilateral zeta function

For 0 < a ? 1 / 2 , we define the quadrilateral zeta function Q ( s ) using Hurwitz and periodic functions show that satisfies Riemann's functional equation studied by Hamburger, Heck Knopp. Moreover, prove for any there exist positive constants A T such number of zeros on line segment from 1/2 to + i is greater than whenever ? .