SUMS OF RANDOM MULTIPLICATIVE FUNCTIONS OVER FUNCTION FIELDS WITH FEW IRREDUCIBLE FACTORS

Daksh Aggarwal, Unique Subedi, WILLIAM VERREAULT, ASIF ZAMAN, Chenghui Zheng

Abstract: We establish a normal approximation for the limiting distribution of partial sums of random Rademacher multiplicative functions over function fields, provided the number of irreducible factors of the polynomials is small enough. This parallels work of Harper for random Rademacher multiplicative functions over the integers.