Timeline for Introduction to L-series and Dirichlet characters?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 16, 2011 at 2:00 | answer | added | Mahdi Majidi-Zolbanin | timeline score: 0 | |
| Jul 24, 2011 at 18:26 | comment | added | MathHands | Thank you for all of your suggestions! I'm going to check out both Apostol and Neukirch, and Frank's suggestion to start with Davenport was really helpful. | |
| Jul 22, 2011 at 13:19 | answer | added | Álvaro Lozano-Robledo | timeline score: 12 | |
| Jul 22, 2011 at 12:52 | history | edited | user9072 |
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| Jul 22, 2011 at 7:46 | answer | added | Kevin Ventullo | timeline score: 6 | |
| Jul 22, 2011 at 7:32 | answer | added | Daniel Larsson | timeline score: 2 | |
| Jul 22, 2011 at 0:52 | comment | added | Álvaro Lozano-Robledo | At a truly introductory level, you may enjoy reading through Apostol's "Introduction to Analytic Number Theory". Chapter 6 deals with Dirichlet characters and Chapters 11 and 12 develop the theory of Dirichlet series. But for a treatment of Dedekind zeta functions you will have to go elsewhere. | |
| Jul 22, 2011 at 0:45 | comment | added | Frank Thorne | Chapter 7 of Neukirch, Algebraic Number Theory, has a nice treatment of L-functions of number fields. I think your best bet is to read Davenport first, and then (assuming you know some algebraic number theory already) read Neukirch. You might also read Tate's thesis for a beautiful alternative treatment; it makes reasonably beginner-friendly reading. I also second KConrad's advice that you should write down a ton of examples yourself. | |
| Jul 21, 2011 at 23:59 | comment | added | KConrad | I can't imagine there is a text with an extended discussion of L-functions of quartic fields. I also don't understand the impression of things being "scattered". There are one or two chapters in Ireland and Rosen on Dirichlet L-functions; it's not smeared all around the book. Try looking in Knapp's book on elliptic curves for another treatment of Dirichlet L-functions. To a certain extent you need to work out examples yourself too. | |
| Jul 21, 2011 at 23:21 | comment | added | Álvaro Lozano-Robledo | Can you be more specific about what kind of examples you are looking for? | |
| Jul 21, 2011 at 22:58 | history | asked | MathHands | CC BY-SA 3.0 |