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arXiv · 2111.09869

The exceptional set for integers of the form $[(p_1)^c] + [(p_2)^c]$

Roger Baker
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Abstract

Let $1 < c < 24/19$. We show that the number of integers $n \le N$ that cannot be written as $[p_1^c] + [p_2^c]$ ($p_1$, $p_2$ primes) is $O(N^{1-\sigma+\varepsilon})$. Here $\sigma$ is a positive function of $c$ (given explicitly) and $\varepsilon$ is an arbitrary positive number.

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Roger Baker. 2021-11-18. The exceptional set for integers of the form $[(p_1)^c] + [(p_2)^c]$. https://arxiv.org/abs/2111.09869

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