Equilibrium point of Green’s function for the annulus and Eisenstein series

DOI10.1090/S0002-9939-06-08353-5zbMath1173.30008OpenAlexW1643417705MaRDI QIDQ3420000

Ahmed Sebbar, Thérèse Falliero

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08353-5

zbMATH Keywords

equilibrium pointsEisenstein seriesBergman kernelSchiffer formula linking Green's function and Bergman kernel

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Kernel functions in one complex variable and applications (30C40)

Related Items

Asymptotic Ratio of Harmonic Measures of Sides of a Boundary Slit, Zeros of the Eisenstein series 𝐸₂, Estimates on the zeros of \(E_2\), A note on equilibrium points of Green’s function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of Jacobi forms
• On the zeros of the Weierstrass \(\wp\)-function
• Some remarks on kernel functions and Abelian differentials
• Capacity of a union of three intervals and theta functions of genus 2
• Theta functions on Riemann surfaces
• Extremal polynomials associated with a system of curves in the complex plane
• Connections and conformal mapping
• Concerning the equilibrium point of Green's function for an annulus
• The kernel function of an orthonormal system
• On the Lu Qi-Keng Conjecture
• Über ein numerisches Verfahren zur konformen Abbildung zweifach zusammenhängender Gebiete
• Theta functions, kernel functions, and Abelian integrals
• Analytic Functions of Class H p