Divisors of Integers in Arithmetic Progression
Divisors of Integers in Arithmetic Progression
Abstract Let d(n; l, k) be the number of positive divisors of n which lie in the arithmetic progression l mod k . Using the complex integration technique the formula is proved. This formula holds uniformly in l, k and x satisfying 1 ≦ l ≦ k, (lx) 1/2 ≦ …