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- W4229049350 abstract "When restricted to some non-negative multiplicative function, say f, bounded on primes and that vanishes on non square-free integers, our result provides us with an asymptotic for $$sum _{nle X}f(n)/n$$ with error term $${mathcal {O}}((log X)^{kappa -h-1+varepsilon })$$ (for any positive $$varepsilon >0$$ ) as soon as we have $$sum _{ple Q}f(p)(log p)/p=kappa log Q+eta +{mathcal {O}}(1/(log 2Q)^h)$$ for a non-negative $$kappa $$ and some non-negative integer h. The method generalizes the 1967-approach of Levin and Faĭnleĭb and uses a differential equation." @default.
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- W4229049350 date "2023-01-12" @default.
- W4229049350 modified "2023-09-30" @default.
- W4229049350 title "A higher order Levin–Faĭnleĭb theorem" @default.
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- W4229049350 doi "https://doi.org/10.1007/s12044-022-00721-3" @default.
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