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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Food for Thought Seminar
Wee Teck Gan
UCSD
The unreasonable effectiveness of modular forms in arithmetic
Abstract:
How many times can a prime number be expressed as the sum of n squares? What is the asymptotic distribution of integer points on a family of ellipsoids $ax^2 + by^2 + cz^2 = n$ as $n$ tends to infinity? I will explain how modular forms can be used to address these questions and others.
February 1, 2007
12:00 PM
AP&M 7321
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