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Divisors of Integers in Arithmetic Progression
Published online by Cambridge University Press: 20 November 2018
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 ≦ k ≦ x1-∊; the exponent α ≦ 1/3.
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- Copyright © Canadian Mathematical Society 1990
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