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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
23
votes
Intuition behind Harmonic Analysis in Analytic Number Theory
I highly recommend George Mackey's beautiful article Harmonic Analysis as the Exploitation of Symmetry—A Historical Survey. It is extremely long, although easy to read; perhaps you can look at the tab …
11
votes
4
answers
2k
views
Embedding Theorem for topological spaces, and in general
There are many examples throughout mathematics of abstracting the formal properties of a "familiar" structure, but then having a theorem stating that all models of the abstract axioms embed into one o …