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math.NT — Number Theory

The missing Lin(ni)k

Contributed by Paul Pollack

We show how Selberg's symmetry formulas and the recent finding that there are no Landau--Siegel zeros connect to give a radically elementary proof of Linnik's theorem on the least prime in an arithmetic progression.

A mix of human-written and AI-generated textHuman understanding: all partsLandau--Siegel zerosLinnik's theoremSelberg's symmetry formulasieve methods