February 19, 2024Open Access

Exploring the Representation of Large Positive Integers as Sums of Prime Powers and Integer Powers: Analysis with Positive Density Subsets

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Abstract

In this paper, we use the transference principle to investigate the representation of sufficiently large positive integers as the sum of prime powers and integer powers, where the primes are drawn from a positive density subset of the set of all primes , and the integer powers are drawn from a positive density subset of k-th powers.

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Meng Gao (Mon,) studied this question.

synapsesocial.com/papers/68e78a60b6db6435876fcd22 https://doi.org/https://doi.org/10.48550/arxiv.2402.12154

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