Prime number error terms
Nathan Ng
Université de Lethbridge, Canada
https://www.cs.uleth.ca/~nathanng/
Date(s) : 12/11/2024 iCal
11h00 - 12h00
In 1980 Montgomery made a conjecture about the true order of the error term in the prime number theorem. In the early 1990’s 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. Recently, Lamzouri showed that a version of the Linear Independence Conjecture implies part of Montgomery’s conjecture. I will show how Lamzouri’s argument can be extended to any prime number error term.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
Catégories
