by Christian Berg
Publisher: Kobenhavns Universitet 2012
Number of pages: 192
From the table of contents: Introduction; Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Argument, Logarithm, Powers; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
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by K. Chandrasekharan - Tata Institute of Fundamental Research
These notes provide an intorduction to the theory of the Riemann Zeta-function for students who might later want to do research on the subject. The Prime Number Theorem, Hardy's theorem, and Hamburger's theorem are the principal results proved here.
by W.K. Hayman - Tata Institue of Fundamental Research
We shall develop in this course Nevanlinna's theory of meromorphic functions. From the table of contents: Basic Theory; Nevanlinna's Second Fundamental Theorem; Univalent Functions (Schlicht functions, Asymptotic behaviour).
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