From Classical L-Functions to Modern Reciprocity Laws
The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program. It is a unique and self-contained resource for number theorists, instructors teaching basic analytic number theory,...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edition: | 1st ed. 2025. |
| Series: | Graduate Texts in Mathematics,
307 |
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| Online Access: | https://doi.org/10.1007/978-3-032-03035-1 |
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Table of Contents:
- Preface
- 1 Classical zeta and L-functions
- 2 Tate's thesis
- 3 Hecke characters versus Galois characters
- 4 Artin L-functions
- A streamlined introduction to modular forms
- 6. Galois representations attached to weight one forms
- Appendix A Some background material
- References.