2015, English, Thesis edition: Dedekind sums / by Simon Macourt. Macourt, Simon, (author.)

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Physical Description
  • viii, 50 pages ; 30 cm.
Language
  • English

Edition details

Title
  • Dedekind sums /​ by Simon Macourt.
Author
  • Macourt, Simon, (author.)
Other Authors
  • Macquarie University. Department of Mathematics (degree granting institution.)
  • Myerson, Gerry (thesis supervisor.)
Produced
  • Sydney, Australia Macquarie University, 2015.
Copyright
  • ©2015.
Content Types
  • text
Carrier Types
  • volume
Physical Description
  • viii, 50 pages ; 30 cm.
Subjects
Target Audience
  • Specialized
Summary
  • Dedekind sums arose out of the study of elliptic functions and modular forms. They were iniially discovered by Dedekind but have since been studied for their many arithmetic properties. Much work has been done on Dedekind sums and in 1972 Rademacher and Grosswald released a book that summarised much of what was known, as well as providing a history of Dedekind sums. This encouraged greater interest in this topic and provided groundwork for further research. In our essay we seek to update Rademacher and Grosswald's book by providing an overview of some of the research that has been done since its publication. We will also extend some results of Myerson and Phillips, regarding fixed points of Dedekind sums. It is our intention that our findings will provide a foundation for future research in the study of Dedekind sums.
Contents
  • 1. Introduction
  • 2. Elementary properties
  • 3. The distribution of Dedekind sums
  • 4. Related sums, applications and other properties of Dedekind sums
  • 5. New results
  • 6. Conclusion.
Notes
  • Theoretical thesis.
  • MRes Macquarie University, Faculty of Science and Engineering, Department of Mathematics 2015.
  • Bibliography: pages [47]-50.
Terms of Use
  • Copyright Simon Macourt 2015.
Language
  • English
Libraries Australia ID
Contributed by
Libraries Australia

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