On the Lu Qi-keng conjecture-Reference-Cited by-同舟云学术

On the Lu Qi-keng conjecture

Published:1976 Issue:2 Volume:59 Page:222-224
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Suita Nobuyuki,Yamada Akira

Abstract

We shall give a complete answer to the Lu Qi-keng conjecture for finite Riemann surfaces. Our result is that every finite Riemann surface which is not simply-connected is never a Lu Qi-keng domain, i.e. the Bergman kernel K ( z , t ) K(z,t) of it has zeros for suitable t t ’s.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-059-02/S0002-9939-1976-0425185-9/S0002-9939-1976-0425185-9.pdf

Reference4 articles.

1. On Kaehler manifolds with constant curvature;Lu, Q.-k.;Chinese Math.--Acta,1966

2. On the zeros of the Bergman function in doubly-connected domains;Rosenthal, Paul;Proc. Amer. Math. Soc.,1969

3. The kernel function of an orthonormal system;Schiffer, Menahem;Duke Math. J.,1946

4. The invariant distance in the theory of pseudoconformal transformations and the Lu Qi-keng conjecture;Skwarczyński, M.;Proc. Amer. Math. Soc.,1969

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