Timeline for How does Langlands define Artin L-functions?
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| Apr 5, 2020 at 6:42 | comment | added | GH from MO | You cannot redefine Artin $L$-functions, just as you cannot redefine Dirichlet $L$-functions and the Riemann zeta function. These objects have been with us for a century or more, so you must respect them and stick to them. I am 99% sure that Langlands would agree with this, and he uses the first display as the definition of Artin $L$-functions. The second display is also legitimate, of course: it is the dual of the Artin $L$-function. My two cents. | |
| Apr 4, 2020 at 3:28 | history | asked | D_S | CC BY-SA 4.0 |