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arXiv · 2606.06118

On a conjecture on Romanoff type sumsets

Yuchen Ding·Liangxun Li
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Abstract

In this note, we generalize a 1950 result of P. Erd\H os on upper bounds of $k$-th moment of Romanoff type representation functions. As an application, we give a conditional proof of a recent conjecture of Y.-G. Chen on Romanoff type sumsets under the assumption of the Hardy-Littlewood conjecture.

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Yuchen Ding, Liangxun Li. 2026-06-04. On a conjecture on Romanoff type sumsets. https://arxiv.org/abs/2606.06118

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