Sign changes of the partial sums of a random multiplicative function

9 Mar 2021  ·  Marco Aymone, Winston Heap, Jing Zhao ·

We provide a simple proof that the partial sums $\sum_{n\leq x}f(n)$ of a Rademacher random multiplicative function $f$ change sign for an infinite number of $x>0$, almost surely...

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Number Theory Probability