"Sums of One Prime Power and Four Prime Cubes in Short Intervals"

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Let k ⩾ 1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n = p 1 k + p… Click to show full abstract

Let $k ⩾ 1$ be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers $n = p_{1}^{k} + p_{2}^{3} + p_{3}^{3} + p_{4}^{3} + p_{5}^{3}$ in short intervals, where $p_{1}, p_{2}, p_{3}, p_{4}, p_{5}$ are prime numbers.

Keywords: mrow; jats inline; msub; mrow mrow; msubsup; math

Journal Title: Journal of Mathematics
Year Published: 2023

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