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Speaker:
Shabnam Akhtari
Affiliation:
University of Oregon/MPIM
Date:
Wed, 14/11/2018 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar Let F(x, y) be an irreducible binary form with integer coefficients and of degree at least 3. By a well known result of Thue, the equation F(x, y) = m has only finitely many solutions in integers x and y. I will discuss some old and new quantitative results on the number of solutions of such equations. I will also talk about my joint work with Manjul Bhargava, where we use these bounds to show that many equations of the shape F(x, y) = m have no solutions.
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