CRM: Centro De Giorgi
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Diophantine Geometry

seminar: The factorization of x2 + x

speaker: Michael Bennett (University of British Columbia)

abstract: If we factor x2+x = 2a 3b y, with a, b, x and y nonnegative integers, then it has been known for almost 700 years that y > 1 provided x > 8. We will show how to derive a lower bound of the shape y > x(14), valid for all x > 8 and sketch (curious) connections between this result and the Inverse Galois Problem. This is joint work with Michael Filaseta and Ognian Trifonov.

Tue 24 May, 10:00 - 11:00, Sala Conferenze Centro De Giorgi
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