Bhawesh Mishra: Elementary Equivalences to the classical Prime Number Theorem

Friday, April 8, 4-5 pm, MW 154

Abstract: We will discuss few equivalent formulations of the Prime Number Theorem (PNT). Our focus will be on statements that can be obtained by elementary methods and pertain to the growth rate of the First (resp. second) Chebyshev’s function, sum of Mobius function and von Mangoldt function (with and without weights). The presentation will be self-contained and the proofs elementary (as expected).

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