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Sep 19 |
comment |
Are there any simple, interesting consequences to motivate the local Langlands correspondence?
@PaulSiegel: I have edited the question. I was probably thinking "global understanding requires local understanding". That is not necessarily so, I guess. |
Sep 19 |
revised |
Are there any simple, interesting consequences to motivate the local Langlands correspondence?
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Jun 30 |
comment |
Eisenstein series over a definite division algebra
Ah okay, I see my mistake. I was thinking $GL(1)$ over a division algebra, you are considering $GL(2)$. Moeglin-Waldspurger do not consider this setting in their book? |
Jun 28 |
awarded | Popular Question |
Jun 27 |
comment |
Eisenstein series over a definite division algebra
Please help me to understand what the cusp is. I recall that quaternion division algebras give rise to compact quotients, hence no cusps and Eisenstein series. The trace formula becomes simple and one gets the Jacquet-Langlands correspondence with forms with at least two square-integrable components. |
Jun 19 |
comment |
Complex zeros of $\zeta'(s)/\zeta(s) + \zeta'(1-s)/\zeta(1-s) $ = simpler expression (except at zeta zeros)
How do cancel the Euler products? Seems like you only got the $\Gamma$ factor. |
Jun 19 |
comment |
Complex zeros of $\zeta'(s)/\zeta(s) + \zeta'(1-s)/\zeta(1-s) $ = simpler expression (except at zeta zeros)
$\xi(s) = \xi(1-s)$, isn't it? What is your definition of $\xi$? |
Jun 14 |
answered | Are there any simple, interesting consequences to motivate the local Langlands correspondence? |
Jun 14 |
comment |
Are there any simple, interesting consequences to motivate the local Langlands correspondence?
Is there a local version of the Taniyama-Shimura conjecture? Also it proves the Ramanujan conjecture in the global setting, but this does not apply to the local steting at all, where actually non-tempered things play a role. |
Jun 12 |
revised |
Regularity assumption in the simple trace formula
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Jun 12 |
answered | Regularity assumption in the simple trace formula |