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Abstracts for PLeaSANT (Participative learning seminar analytic number theory)

Alternatively have a look at the program.

Intersections of binary quadratic forms in primes and the paucity phenomenon

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Speaker: 
Alisa Sedunova
Zugehörigkeit: 
MPIM
Datum: 
Mit, 2019-03-13 16:30 - 17:30
Location: 
MPIM Lecture Hall

Let r(n) be the function that counts the number of ways to represent a natural number n as a sum of two positive squares. I am going to talk about my work in progress about second moments for r(n), when some of the variables are restricted to primes and discuss the existence of paucity for the off-diagonal solutions in such problems.

Norm Form Equations and Linear Divisibility Sequences

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Speaker: 
Elisa Bellah
Zugehörigkeit: 
University of Oregon/MPIM
Datum: 
Mit, 2019-05-29 16:30 - 17:30
Location: 
MPIM Lecture Hall

Finding integer solutions to norm form equations is a classic Diophantine problem.

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