HeathBrown, D. R. and Banks, W. D. and Shparlinski, I. E. (2005) On the average value of divisor sums in arithmetic progressions. International Mathematics Research Notices (1). pp. 125.

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Official URL: http://www.hindawi.com/jurnals/imrn/volume2005/S1...
Abstract
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 and multiplicative) taken on the values of various functions, such as rational and exponential functions; in particular, we obtain upper bounds for such twisted sums.
Item Type:  Article 

Subjects:  H  N > Number theory 
Research Groups:  Number Theory Group 
ID Code:  180 
Deposited By:  Roger HeathBrown 
Deposited On:  15 Jun 2005 
Last Modified:  29 May 2015 18:17 
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