Joel Rivat: Sum of digits and exponential sums

This is a joint work with Michael Drmota and Christian Mauduit.

With M. Drmota, we obtained very precise results on partial sums of digits of $ n^2$, and with C. Mauduit we studied the distribution of $ q$-multiplicative functions in the sequence $ n^c$, $ c>1$. We will survey these results and focus on the underlying estimates of multilinear exponential sums.


A. O. Gel$ '$fond.
Sur les nombres qui ont des propriétés additives et multiplicatives données.
Acta Arith., 13:259-265, 1967/1968.

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