episciences.org_5118_1653369935
1653369935
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
HardyRamanujan Journal
28047370
10.46298/journals/hrj
https://hrj.episciences.org
01
23
2019
The BarbanVehov Theorem in Arithmetic Progressions
V
Kumar Murty
A result of BarbanVehov (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 BrunTitchmarsh 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.
01
23
2019
5118
https://hal.archivesouvertes.fr/hal01986722v1
10.46298/hrj.2019.5118
https://hrj.episciences.org/5118

https://hrj.episciences.org/5118/pdf