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Appendix A - Some arithmetic

from Part III - Appendix

Published online by Cambridge University Press:  28 November 2024

Eric D'Hoker
Affiliation:
University of California, Los Angeles
Justin Kaidi
Affiliation:
Kyushu University
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Summary

In this appendix, we collect some basic results in number theory, including the Chinese remainder theorem, its application to solving polynomial equations, the Legendre and Jacobi quadratic residue symbols, quadratic reciprocity, its application to solving quadratic equations modulo N, and a brief introduction to Dirichlet characters and Dirichlet L-functions.

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Publisher: Cambridge University Press
Print publication year: 2024

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  • Some arithmetic
  • Eric D'Hoker, University of California, Los Angeles, Justin Kaidi, Kyushu University
  • Book: Modular Forms and String Theory
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009457521.021
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  • Some arithmetic
  • Eric D'Hoker, University of California, Los Angeles, Justin Kaidi, Kyushu University
  • Book: Modular Forms and String Theory
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009457521.021
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Some arithmetic
  • Eric D'Hoker, University of California, Los Angeles, Justin Kaidi, Kyushu University
  • Book: Modular Forms and String Theory
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009457521.021
Available formats
×