比利时vs摩洛哥足彩
,
university of california san diego
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math 209 - number theory seminar
lillian pierce
oxford university
quadratic forms, primes, and the circle method
abstract:
over the last hundred years, the circle method has become one of the most important tools of analytic number theory. this talk (on joint work with roger heath-brown) will describe a new application of the circle method to pairs of quadratic forms, via a novel two-dimensional analogue of kloosterman's version of the circle method. as a result, we prove (under a mild geometric constraint) that any two quadratic forms with integer coefficients, in 5 variables or more, simultaneously attain prime values infinitely often.
host: kiran kedlaya
november 20, 2012
9:00 am
ap&m 6402
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