log-Coulomb gas with norm-density in \(p\)-fields

DOI10.1134/S2070046621010015zbMath1484.81102arXiv2001.03892OpenAlexW3000332349MaRDI QIDQ2068875

Joe Webster

Publication date: 20 January 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03892

zbMATH Keywords

treeset partitionlocal zeta functionnonarchimedean local fieldlog-Coulomb gas

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Electromagnetic interaction; quantum electrodynamics (81V10) Statistical mechanics of gases (82D05) Zeta functions and (L)-functions (11S40) Meromorphic functions of several complex variables (32A20) Real rational functions (26C15)

Related Items (2)

Non-Archimedean electrostatics ⋮ Log-Coulomb gases in the projective line of a \(p\)-field

Cites Work

• Unnamed Item
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Basic number theory.
• A solvable mixed charge ensemble on the line: global results
• Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions
• Coulomb gases and Ginzburg-Landau vortices
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The partition function of multicomponent log-gases
• The importance of the Selberg integral
• Complex powers and asymptotic expansions. II.
• Complex powers and asymptotic expansions. I. Functions of certain types.
• Non-Archimedean Coulomb gases
• Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants

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