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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.

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Sieve theory through variational principles

As suggested in the comment by Stanley Yao Xiao, Selberg's choice of $\lambda_d$ in his clever upper bound sieve is an application of a "discrete" variational principle. This answer is going to presen …
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