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Partitions of the set of natural numbers and symplectic homology

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Abstract

We illustrate a somewhat unexpected relation between symplectic geometry and combinatorial number theory by proving Tamura’s theorem on partitions of the set of positive integers (a generalization of the more famous Rayleigh–Beatty theorem) using the positive \({\mathbb{S}^1}\)-equivariant symplectic homology.

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Authors and Affiliations

  1. School of Mathematical Sciences, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel

    I. Uljarevic

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  1. I. Uljarevic
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Correspondence to I. Uljarevic.

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Uljarevic, I. Partitions of the set of natural numbers and symplectic homology. Acta Math. Hungar. 155, 313–323 (2018). https://doi.org/10.1007/s10474-018-0812-0

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  • DOI: https://doi.org/10.1007/s10474-018-0812-0

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