Advanced Complex Analysis

DOI10.1090/simon/002.2zbMath1332.00005OpenAlexW4238436458MaRDI QIDQ3463635

Barry Simon

Publication date: 19 January 2016

Full work available at URL: https://doi.org/10.1090/simon/002.2

zbMATH Keywords

prime number theoremNevanlinna theoryzeta functionDirichlet seriesPoincaré metricPicard's theoremBergmann kernelBessel and Airy functionsDirichlet's prime progression theoremHankel and Sommerfeld contoursJacobi theoremsPainlevé's conformal mapping theorem

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Mathematics in general (00A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general (00-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions (33-01)

Related Items (11)

Tangent fields, intrinsic stationarity, and self similarity ⋮ Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel ⋮ Asymptotic stability of small bound state of nonlinear quantum walks ⋮ An analytic approach to quasinormal modes for coupled linear systems ⋮ Asymptotics of Chebyshev polynomials. V: Residual polynomials ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ A version of Watson lemma for Laplace integrals and some applications ⋮ Universal locally univalent functions and universal conformal metrics with constant curvature ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ An improvement of Zalcman's lemma in C^n ⋮ The Halász–Székely barycenter

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