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Pretentiousness in analytic number theory

Andrew Granville (2009)

Journal de Théorie des Nombres de Bordeaux

In this report, prepared specially for the program of the XXVième Journées Arithmétiques, we describe how, in joint work with K. Soundararajan and Antal Balog, we have developed the notion of “pretentiousness” to help us better understand several key questions in analytic number theory.

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