Timeline for Complex Analysis applications toward Number Theory
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2010 at 14:04 | vote | accept | Daniel Kohen | ||
| Oct 25, 2010 at 9:01 | answer | added | KConrad | timeline score: 23 | |
| Oct 25, 2010 at 8:41 | answer | added | Idoneal | timeline score: 3 | |
| Oct 25, 2010 at 4:12 | answer | added | Kevin O'Bryant | timeline score: 5 | |
| Oct 25, 2010 at 3:47 | comment | added | user1073 | You might try picking up Koblitz's 'Introduction to Elliptic Curves and Modular Forms'. Modular forms are extremely fascinating objects number theoretically, but require a certain amount of complex analysis even to define. A few years ago I sat in on an Intro to Modular Forms course, and there was so much complex analysis involved that it wasn't until halfway through the term that it became apparent I was taking a number theory course! | |
| Oct 25, 2010 at 3:44 | comment | added | Eric Peterson | This might be too basic, as my knowledge of complex analysis and analytic number theory together couldn't fill a thimble --- but as an undergraduate I was really happy with Stein & Shakarchi's Complex Analysis, the second half of which is spent investigating the foothills of analytic number theory. In those foothills, at least, it illustrates handily how complex analytic techniques work. | |
| Oct 25, 2010 at 3:35 | comment | added | Daniel Kohen | I'm not sure how to measure my background,but I'd say my knowledge comes primarly from Ireland and Rosen "A classical Introduction to number theory". Recently I have been taking a look at some more advanced number theory books (algebraic NT) | |
| Oct 25, 2010 at 3:29 | answer | added | Gerry Myerson | timeline score: 8 | |
| Oct 25, 2010 at 3:18 | answer | added | Pete L. Clark | timeline score: 11 | |
| Oct 25, 2010 at 3:18 | comment | added | Cam McLeman | It would help to know how much number theory background you have. The analytic class number formula would be fantastic if you have the prerequisites. | |
| Oct 25, 2010 at 3:08 | comment | added | natura | maybe some analytic number theory would be helpful. For example, Apostol's textbook in UTM series. "Introduction To Analytic Number Theory" | |
| Oct 25, 2010 at 2:57 | history | asked | Daniel Kohen | CC BY-SA 2.5 |