Prime Number Error Terms
Speaker: Nathan Ng
Date: Mon, Jun 17, 2024
Location: PIMS, University of British Columbia
Conference: Comparative Prime Number Theory
Subject: Mathematics
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Mon, Jun 17, 2024
Location: PIMS, University of British Columbia
Conference: Comparative Prime Number Theory
Subject: Mathematics
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
In 1980 Montgomery made a conjecture about the true order of the error term in the prime number theorem. In the early 1990s Gonek made an analogous conjecture for the sum of the Mobius function. In 2012 I further revised Gonek’s conjecture by providing a precise limiting constant. This was based on work on large deviations of sums of independent random variables. Similar ideas can be applied to any prime number error term. In this talk I will speculate about the true order of prime number error terms.
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