Geodesic
WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?
Forum of Mathematics, Sigma, Tome 6 (2018)

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Let $f$ and $g$ be 1-bounded multiplicative functions for which $f\ast g=1_{.=1}$. The Bombieri–Vinogradov theorem holds for both $f$ and $g$ if and only if the Siegel–Walfisz criterion holds for both $f$ and $g$, and the Bombieri–Vinogradov theorem holds for $f$ restricted to the primes. 
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     author = {ANDREW GRANVILLE and XUANCHENG SHAO},
     title = {WHEN {DOES} {THE} {BOMBIERI{\textendash}VINOGRADOV} {THEOREM} {HOLD} {FOR} {A} {GIVEN} {MULTIPLICATIVE} {FUNCTION?}},
     journal = {Forum of Mathematics, Sigma},
     publisher = {mathdoc},
     volume = {6},
     year = {2018},
     doi = {10.1017/fms.2018.14},
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ANDREW GRANVILLE; XUANCHENG SHAO. WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?. Forum of Mathematics, Sigma, Tome 6 (2018). doi: 10.1017/fms.2018.14

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