Timeline for What is the difference between a zeta function and an L-function?
Current License: CC BY-SA 3.0
14 events
when toggle format | what | by | license | comment | |
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Nov 15, 2012 at 3:10 | comment | added | Emerton | ... and you shouldn't be very concerned about possible differences in usage. Regards, Matthew | |
Nov 15, 2012 at 3:04 | comment | added | Emerton | Dear Davidac, As Paul Garrett says, "all are true". On the one hand, $\zeta$-functions are traditionally associated to the trivial Galois representation, or an entire scheme of finite type over $\mathbb Z$ (or its cohomology with trivial coefficients, if one wants to think sheaf-theoretically), while $L$-functions are what happens when you allow ``twists'' in what would otherwise be $\zeta$-functions (think of Dirichlet $L$-functions compared to the Riemann $\zeta$-function), such as non-trivial Galois reps., or non-trivial sheaves, etc. But there is no hard and fast rule. ... | |
Nov 14, 2012 at 19:44 | comment | added | Will Sawin | There is a reason that Prof. Nick Katz's course this semester is on equidistribution of L-functions over finite fields at not equidistribution of zeta functions over finite fields. | |
Nov 14, 2012 at 19:00 | comment | added | paul garrett | It is likely that "all are true", I think... as in my add-on answer below. | |
Nov 14, 2012 at 18:59 | answer | added | paul garrett | timeline score: 11 | |
Nov 14, 2012 at 18:08 | comment | added | David Corwin | Currently, I feel like there is no consensus among the answers, with Hansen's and Buzzard's answers reflecting one view, and engelbrekt and Will Sawin's reflecting another. | |
Nov 14, 2012 at 18:06 | history | edited | David Corwin | CC BY-SA 3.0 |
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Nov 14, 2012 at 17:25 | answer | added | Will Sawin | timeline score: 9 | |
Dec 9, 2009 at 14:24 | vote | accept | David Corwin | ||
Nov 27, 2009 at 19:25 | answer | added | Kevin Buzzard | timeline score: 18 | |
Nov 27, 2009 at 19:18 | history | edited | Ilya Nikokoshev |
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Nov 27, 2009 at 3:59 | answer | added | David Hansen | timeline score: 24 | |
Nov 26, 2009 at 16:45 | answer | added | engelbrekt | timeline score: 13 | |
Nov 26, 2009 at 15:03 | history | asked | David Corwin | CC BY-SA 2.5 |