15. The Lemniscate

  1. David A. Cox

Published Online: 28 OCT 2011

DOI: 10.1002/9781118033081.ch15

Galois Theory

Galois Theory

How to Cite

Cox, D. A. (2004) The Lemniscate, in Galois Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118033081.ch15

Publication History

  1. Published Online: 28 OCT 2011
  2. Published Print: 7 SEP 2004

ISBN Information

Print ISBN: 9780471434191

Online ISBN: 9781118033081

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Keywords:

  • polynomials;
  • arc length;
  • lemniscatic function;
  • periodic function;
  • doubly periodic function

Summary

This chapter contains sections titled:

  • Division Points and Arc Length

  • The Lemniscatic Function

  • The Complex Lemniscatic Function

  • Complex Multiplication

  • Abel's Theorem