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arXiv · 2104.06501

An inverse problem for finite Sidon sets

Melvyn B. Nathanson
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Abstract

Here is a direct problem for Sidon sets: Given a linear form $\varphi = c_1 x_1 + \cdots + c_h x_h $, construct and describe sets $A$ that are Sidon sets for $\varphi$. This paper considers an inverse problem for Sidon sets: Given a set $A$, determine the linear forms $\varphi$ such that $A$ is a Sidon set for $\varphi$.

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Melvyn B. Nathanson. 2021-04-13. An inverse problem for finite Sidon sets. https://arxiv.org/abs/2104.06501

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