An inverse problem for finite Sidon sets

Melvyn B. Nathanson

An inverse problem for finite Sidon sets

Number Theory 2022-12-14 v2

Authors: Melvyn B. Nathanson

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 $\varphi$ .

Keywords

generalized inverses

Cite

@article{arxiv.2104.06501,
  title  = {An inverse problem for finite Sidon sets},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:2104.06501},
  year   = {2022}
}

Comments

7 pages; additional open problems and updated references

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