Ref 61 as the single citation for a lot of content in Section 3 claiming that hex and octa copters have more endurance than quads. I'm not sure I agree with that statement and it needs a lot of qualifiers if it is to be relied upon.
more rotors = more power consumption capability, but in practice it yields lower duty cycles for each of the motors. That effect, along with additional lift capacity for batteries, creates a platform that generally stays up longer.
as others mentioned there are also aerodynamic advantages as long as we're staying away from coaxial designs.