A remark on decay rates of odd partitions: An application of spectral asymptotics of the Neumann--Poincar\'e operators

Yoshihisa Miyanishi

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arXiv · 2305.01916

A remark on decay rates of odd partitions: An application of spectral asymptotics of the Neumann--Poincar\'e operators

Yoshihisa Miyanishi

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Abstract

We introduce a theorem currently proved unique by the asymptotic behaviors of eigenvalues of a compact operator. Specifically, a problem of partitions is considered and the Neumann--Poincar\'e operator is employed as the compact linear operator. Then a theorem is proved by the spectrum of the Neumann--Poincar\'e operator.

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Yoshihisa Miyanishi. 2023-05-03. A remark on decay rates of odd partitions: An application of spectral asymptotics of the Neumann--Poincar\'e operators. https://arxiv.org/abs/2305.01916

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