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It was written, but never published. Tyson Gern's 2013 thesis references it: D. Garfinkle. On the classification of primitive ideals for complex classical Lie algebras, IV. unpublished. Fortunate …

This part of Dirichlet's unit theorem is the only one needed in the standard proof of the Weil-Mordell theorem over number fields, so you probably can find it in a few introductory books on elliptic c …

I guess you are looking for something along these lines: Hermann Grassmann, "Extension Theory" (1844) Arthur Cayley, "Memoir on the Theory of Matrices" (1858) Hussein Tevfik, "Linear Algebra" (1882) …

This article by Maya Stein states the relevant results on these two papers by Mader (page 11): Which degree at each vertex do we need in order to ensure that our graph has a $k$-(edge-) connecte …

Well, the consensus seems to be that this is an open problem, for $k >1$. This is a quote from A. Raghuram's paper on the volume "The Bloch–Kato Conjecture for the Riemann Zeta Function" (page 8), pu …

I accidentally found the answer to this question in the book "The Abel Prize. 2003-2007 The First Five Years", page 74: "A first lecture on zeta and L-functions in the setting of the theory of s …

Not sure about later developments, but the idea is mentioned in a famous passage of Grothendieck's Récoltes et Semailles. I quote from Roy Lisker's translation: Thus, the motive presents itself as …

It is definitely an open problem. The only known cases are that of 0 and 1-motives. The case of (Artin) 0-motives is relatively easy, and the other one was proved through their equivalence with Delig …

As mentioned in the comments, the only big online database of Maass forms is that at LMFDB, with the data of 16599 forms so far. In order to get the data on a more convenient format, you can go from …

They prove it in section 14 ("An Application") of their paper John Friedlander & Henryk Iwaniec, "The Illusory Sieve" (2005) As pointed out by Lucia in the comments, the result is conditional on t …

The only reference ever given for this is Y. Manin, Letter, March 2000 I don't think this letter (from Manin to Bertrand Toen, I presume) has ever been made public, and definitely it hasn't been …

I think the standard reference for representations over finite fields still is J. L. Alperin, "Local Representation Theory" (1986) I you want a much briefer introduction, the last chapters of Serr …

Weibel's "Algebraic K-theory of rings of integers in local and global fields" says $K_{4k}(\mathbb{Z})$ are known to have odd order, with no prime factors less than $10^7$, but are conjectured to be z …

Galois representations have to come from somewhere. If you are not interested in learning about modular forms and automorphic forms at this point, the other best source of representations are ellipti …

I don't think there's any big consequence of the Inverse Galois problem being answered either way. If the beautiful mathematics behind it and the influential methods (rigidity) are not a good enough r …