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- W3143694864 abstract "We show that for any finite set A and an arbitrary $$varepsilon >0$$ there exists $$k=k(varepsilon )$$ such that the higher energy $$textsf{E} _k(A)$$ is at most $$|A|^{k+varepsilon }$$ unless A has a very specific structure. As an application we obtain that any finite subset A of the real numbers or the prime field either contains an additive Sidon-type subset of size $$|A|^{1/2+c}$$ or a multiplicative Sidon-type subset of size $$|A|^{1/2+c}$$ ." @default.
- W3143694864 created "2021-04-13" @default.
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- W3143694864 date "2023-04-01" @default.
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- W3143694864 title "On an Application of Higher Energies to Sidon Sets" @default.
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