A lower bound for the Lindelöf function associated to generalized integers Original Research Article

In this paper we study generalized prime systems for which the integer counting function image is asymptotically well-behaved, in the sense that image, where ρ is a positive constant and image. For such systems, the associated zeta function image has finite order for image, and the Lindelöf function image may be defined. We prove that for all such systems, image for σ>β, whereimage