Abstract
Introducing the concept of $$\kappa $$ -factor function generalizing the well-known irrational factor function, we refine a previous estimate given by S. Chaubey, M. Lanius and A. Zaharescu for the irrational factor function in arithmetic progressions. In particular, the dependence in q in the error term is explicited. An asymptotic formula for the $$\kappa $$ -factor function on shifted primes is also given.
Published Version
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