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Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.

6 votes

What are some fundamental "sources" for the appearance of pi in mathematics?

The appearance of $\pi$ in Stirling's formula still astounds me.
34 votes
Accepted

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

I like the proof by Paul Monsky: 'Simplifying the Proof of Dirichlet's Theorem' American Mathematical Monthly, Vol. 100 (1993), pp. 861-862. Naturally this does maintain the distinction between real …
Robin Chapman's user avatar