Browsing by Title "On the average value of divisor sums in arithmetic progressions"

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  • On the average value of divisor sums in arithmetic progressions 

    Banks, William David, 1964-; Heath-Brown, D. R.; Shparlinski, Igor E. (2005)
    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 ...