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# Questions

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### Non-trivial class number at some finite level in the cyclotomic $\mathbf{Z}_p$-extension of $\mathbf{Q}$?

dec 2 11 at 17:07 David Loeffler 8,7551540

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### Growth of $n=n(k)$ for which there’s a non-trivial solution to $x_1^k+\cdots+x_n^k=y^k$?

mar 29 12 at 22:22 Will Jagy 12.6k12645

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### Structure of cuspidal Bernstein components---do non-commutative endomorphism rings ever really show up?

apr 5 11 at 9:20 David Renard 311

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### candidate for rigorous _mathematical_ definition of “canonical”?

jan 2 12 at 22:24 Andres Caicedo 14.8k14381

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### Version of Brauer-Nesbitt for summands

nov 23 09 at 18:50 David Speyer 56.3k3103242

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### When does a unitary Hilbert space rep of a reductive Lie group decompose into a direct sum of irreps with finite multiplicities?

jul 12 11 at 18:41 paul garrett 6,7941726

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### Does there exist a holomorphic function which takes given values on the positive integers?

apr 8 10 at 22:32 Georges Elencwajg 24.6k66132

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