Abstract
In this note we are interested in cancellations in sums of multiplicative functions. It is well known that
To Professor Helmut Maier on the occasion of his 60th birthday
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Notes
- 1.
In other words
$$\displaystyle{g(n_{1},\ldots,n_{k},m_{1},\ldots,m_{k})g(u_{1},\ldots,u_{k},v_{1},\ldots,v_{k}) = g(n_{1}u_{1},\ldots,n_{k}u_{k},m_{1}v_{1},\ldots,m_{k}v_{k})}$$for any natural numbers \(n_{i},m_{i}\) and \(u_{i},v_{i}\) whose least common multiples are coprime.
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Harper, A.J., Nikeghbali, A., Radziwiłł, M. (2015). A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions. In: Pomerance, C., Rassias, M. (eds) Analytic Number Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-22240-0_11
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