## Columbia Mathematics Department Colloquium

*Congruent numbers and Heegner points*

by

# Ye Tian

## Chinese Academy of Sciences

Abstract:

Recall that a positive integer n is
called a congruent number if there exists a right triangle with
rational side-lengths and area n.

In this talk, we give a method to produce infinitely many square-free congruent numbers with an arbitrary number of prime divisors.

In this talk, we give a method to produce infinitely many square-free congruent numbers with an arbitrary number of prime divisors.

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