Topics in Complex Function Theory, Volume 2: Automorphic Functions and Abelian IntegralsISBN: 978-0-471-60843-1
Paperback
208 pages
February 1988
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AUTOMORPHIC FUNCTIONS.
Fractional Linear Transformations.
Noneuclidean Geometry.
Discontinuous Groups.
Polygon Groups.
Poincar Series.
The Field of Automorphic Functions.
Automorphic and Algebraic Functions.
Algebraic Curves of Genus 0 and 1, Canonical Polygons.
ABELIAN INTEGRALS.
Reduction, Existence.
The Period Matrix.
The Modular Group.
Canonical Transformation.
The Theorem of Riemann and Roch.
The Theorem of Abel.
The Jacobi Inversion Problem.
Theta Functions.
The Zeros of the Theta Function.
Theta Quotients.
Jacobi-Abel Functions.
Cumulative Index: Vols.
I & II
Fractional Linear Transformations.
Noneuclidean Geometry.
Discontinuous Groups.
Polygon Groups.
Poincar Series.
The Field of Automorphic Functions.
Automorphic and Algebraic Functions.
Algebraic Curves of Genus 0 and 1, Canonical Polygons.
ABELIAN INTEGRALS.
Reduction, Existence.
The Period Matrix.
The Modular Group.
Canonical Transformation.
The Theorem of Riemann and Roch.
The Theorem of Abel.
The Jacobi Inversion Problem.
Theta Functions.
The Zeros of the Theta Function.
Theta Quotients.
Jacobi-Abel Functions.
Cumulative Index: Vols.
I & II
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