The structure of multiplicative functions with small partial sums

11 May 2020 Koukoulopoulos Dimitris Soundararajan K.

The Landau-Selberg-Delange method provides an asymptotic formula for the partial sums of a multiplicative function whose average value on primes is a fixed complex number $v$. The shape of this asymptotic implies that $f$ can get very small on average only if $v=0,-1,-2,\dots$... (read more)

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