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...
Hauptverfasser: | Heath-Brown, D, Banks, W, Shparlinski, I |
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Format: | Journal article |
Veröffentlicht: |
2005
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