21 citations · 28 across the 12 of their papers we have counts for
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math.NT2021
A paucity problem associated with a shifted integer analogue of the divisor function
Winston Heap, Anurag Sahay, Trevor D. Wooley
Suppose that is irrational. Then almost all elements that may be written as a -fold product of the shifted integers are thus…
math.NT2021
Sign changes of the partial sums of a random multiplicative function
Marco Aymone, Winston Heap, Jing Zhao
We provide a simple proof that the partial sums of a Rademacher random multiplicative function change sign infinitely often as , almost surely.
math.NT2021
On the splitting conjecture in the hybrid model for the Riemann zeta function
Winston Heap
We show that the splitting conjecture in the hybrid model of Gonek--Hughes--Keating holds to order on the Riemann hypothesis. Our results are valid in a larger range of the paramet…