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math.NT2020
A "Proto-Pellet's Formula" for the Möbius Function
Ardavan Afshar
We give a short proof of "Pellet's Formula" for the Möbius Function on , deriving an intermediate formula (which we call "Proto-Pellet's Formula") along the way. W…
math.NT2020
Highly Composite Polynomials and the maximum order of the Divisor Function in
Ardavan Afshar
We investigate the analogues, in , of highly composite numbers and the maximum order of the divisor function, as studied by Ramanujan. In particular, we determine…