Book contents
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- Part II Extensions and applications
- Part III Appendix
- Appendix A Some arithmetic
- Appendix B Riemann surfaces
- Appendix C Line bundles on Riemann surfaces
- Appendix D Riemann #-functions and meromorphic forms
- Appendix E Solutions to exercises
- References
- Index
Appendix A - Some arithmetic
from Part III - Appendix
Published online by Cambridge University Press: 28 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- Part II Extensions and applications
- Part III Appendix
- Appendix A Some arithmetic
- Appendix B Riemann surfaces
- Appendix C Line bundles on Riemann surfaces
- Appendix D Riemann #-functions and meromorphic forms
- Appendix E Solutions to exercises
- References
- Index
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.
- Type
- Chapter
- Information
- Modular Forms and String Theory , pp. 347 - 361Publisher: Cambridge University PressPrint publication year: 2024