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arXiv · 2108.00287

A paucity problem associated with a shifted integer analogue of the divisor function

Winston Heap·Anurag Sahay·Trevor D. Wooley
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Abstract

Suppose that $\theta$ is irrational. Then almost all elements $\nu\in {\mathbb Z}[\theta]$ that may be written as a $k$-fold product of the shifted integers $n+\theta$ $(n\in {\mathbb N})$ are thus represented essentially uniquely.

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Winston Heap, Anurag Sahay, Trevor D. Wooley. 2021-07-31. A paucity problem associated with a shifted integer analogue of the divisor function. https://arxiv.org/abs/2108.00287

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