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arXiv · 2103.03439

Intersective Polynomials Arising from Sums of Powers

Bhawesh Mishra
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Abstract

Given a natural number $n \geq 2$, an integer $k$ and for a judiciously chosen $l = l(n)$ we give necessary and sufficient conditions for the polynomial $f_{n,k} = \big( \sum_{i=1}^{l} x_{i}^{n} \big) - k$ to have roots modulo every positive integer.

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Bhawesh Mishra. 2021-03-05. Intersective Polynomials Arising from Sums of Powers. https://doi.org/10.1080/00927872.2021.1879827

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