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Number Theory Seminar: Hardy-Littlewood problems with almost primes

Event Type
Seminar/Symposium
Sponsor
n/a
Virtual
wifi event
Date
Mar 1, 2022   11:00 am  
Speaker
Junxian Li (Universit of Bonn)
Contact
Kevin Ford
E-Mail
ford126@illinois.edu
Views
24

Abstract: The Hardy-Littlewood problem asks for the number of representations of an integer as the sum of a prime and two squares. We consider the Hardy-Littlewood problem where the two squares are restricted to almost primes. This leads to the study of primes in arithmetic progressions to large moduli and automorphic analogue of the Titchmarsh divisor problems. We also consider the number of representations of an integer as the sum of a smooth number and two almost prime squares. This is based on joint work with Assing-Blomer and Blomer-Rydin Myerson.

https://illinois.zoom.us/j/84027824197?pwd=TzkyUGRpeDZIcnVxTnpvVEVyLytXUT09

Meeting ID: 840 2782 4197

Password: 271403

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