Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
We calculate the mean and variance of sums of the Möbius function µ and the indicator function of the squarefrees µ 2 , in both short intervals and arithmetic progressions, in the context of the ring ކ q [t] of polynomials over a finite field ކ q of q elements, …