A short note on decay rates of odd partitions: an application of spectral asymptotics of the Neumann-Poincaré operators

DOI10.1007/s00013-023-01910-wOpenAlexW4386380518MaRDI QIDQ6077856

Yoshihisa Miyanishi

Publication date: 27 September 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-023-01910-w

zbMATH Keywords

Riemann zeta functiondecay ratesspectrumNeumann-Poincaré operatorodd partitions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• On the eigenvalues of the electrostatic integral operator
• A spectral property of the electrostatic integral operator
• The spectrum of positive elliptic operators and periodic bicharacteristics
• A sum-property of the eigenvalues of the electrostatic integral operator
• Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry
• Uniform Partitions of an Interval
• Eigenvalues of the Neumann–Poincaré operator in dimension 3: Weyl’s law and geometry

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