We complement and offer a new perspective of the proof Motohashi-type formula relating fourth moment L L -functions for G upper L 1"> <m...

the present paper is concerned with the generalization of the holditch theorem under oneparameterhomothetic motion on lorentzian planes. in this paper, for the homothetic lorentzian motion, weexpressed the steiner formula. furthermore, we present the holditch-type theorems.