Rosser's theorem states that Dusart (1999). found tighter bounds using the form of the Cesàro/Cipolla approximations but varying the lowest-order constant term. is the same function as above, but with the lowest-order constant term replaced by a parameter : The upper bounds can be extended to smaller by loosening the parameter. For example, for all .
rosser's theorem states that dusart (1999) found tighter bounds using the form of the cesàro/cipolla approximations but varying the lowest-order constant term is the same function as above but with the lowest-order constant term replaced by a parameter  the upper bounds can be extended to smaller by loosening the parameter for example for all 