On the average value of divisor sums in arithmetic progressions

We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that ``on average'' these sums are close to the expected value. We also give applications of our result to sums of the divisor function twisted with characters (both additive a...

Full description

Bibliographic Details
Main Authors: Heath-Brown, D, Banks, W, Shparlinski, I
Format: Journal article
Published: 2005