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Springer - Weierstrass Sigma Function in Higher Genus Book

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Description

Explore the advanced mathematics of special functions with this Springer monograph. This text focuses on special functions of one or several complex variables and their applications in physics and dynamics. The content covers the algebro-geometric nature of elliptic and automorphic functions. A central theme is the Kleinian sigma function, also known as the higher-genus Weierstrass sigma function. This work provides a generalization of the elliptic sigma function, tracing its origins from the work of Weierstrass. It includes explicit definitions for hyperelliptic or genus-three curves, serving as a modular invariant analogue of the Riemann theta function on the Jacobian.

Key Features

This Springer monograph focuses on the study of special functions of one or several complex variables.

The text covers the application of special functions to the fields of dynamics and physics.

Learn about the algebro-geometric nature of elliptic and automorphic functions throughout the book.

The content provides a detailed look at the Kleinian sigma function and the higher-genus Weierstrass sigma function.

Includes explicit definitions for hyperelliptic or genus-three curves as a modular invariant analogue.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
26 March 2025
Listed Since
16 August 2024

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