Partition of Gaussian integers into a product of power-free numbers.
Ключові слова:
Gaussian integer, power-free number, square-free numberАнотація
We solve the problem of distribution of values of the function of the number of representations of Gaussian integers from a narrow sector in a product of power-free numbers.
Посилання
K. Broughan, Quadrafree factorization numerorum, Rocky Mountain J. Math. (2014), no. 40(3), 791–807.
I. Katai and M. V. Subbarao On product partitions and asymptotic formulas, Proc. Of the Intern. Conference on analytic number theory, Bangalore, India. December 13-15, 2003. Mysore: Ramanujan Math. Soc., Ramanujan Math. Soc. Lecture Notice. (2006), no. 2, 99–114.
