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arXiv · 2004.13208

Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples

Stephan Ramon Garcia·Gabe Udell·Jiahui Yu
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Abstract

Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This is inspired by analogous unconditional theorems of Schinzel undertaken without primality assumptions.

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Stephan Ramon Garcia, Gabe Udell, Jiahui Yu. 2020-04-27. Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples. https://arxiv.org/abs/2004.13208

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