titchmarsh theorem
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Author(s):  
Abdelghani Elgargati ◽  
El Mehdi Loualid ◽  
Radouan Daher
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2019 ◽  
Author(s):  
V Kumar Murty

International audience A result of Barban-Vehov (and independently Motohashi) gives an estimate for the mean square of a sequence related to Selberg's sieve. This upper bound was refined to an asymptotic formula by S. Graham in 1978. In 1992, I made the observation that Graham's method can be used to obtain an asymptotic formula when the sum is restricted to an arithmetic progression. This formula immediately gives a version of the Brun-Titchmarsh theorem. I am taking the occasion of a volume in honour of my friend S. Srinivasan to revisit and publish this observation in the hope that it might still be of interest.


2013 ◽  
Vol 157 (3) ◽  
pp. 249-296 ◽  
Author(s):  
James Maynard
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