Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
WEBS 11
February 4, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Combinatorics, Linear Algebra and Number Theory (CLaN) Seminar
Department of Mathematics and Statistics
WEBS 11
February 4, Monday, 4:10 - 5:00 PM
Jakob Streipel
Department of Mathematics and Statistics
Washington State University
Title: The Congruent Number Problem
Abstract: A positive integer is said to be congruent if it occurs as the area of a right triangle with all three sides being rational. Like many classical problems in number theory, the problem of finding such numbers is easy to state (we just did it!) but very hard to solve. We give an overview of the problem, and along the way demonstrate the deep and far-reaching connections to the wider field of analytic number theory.
Abstract: A positive integer is said to be congruent if it occurs as the area of a right triangle with all three sides being rational. Like many classical problems in number theory, the problem of finding such numbers is easy to state (we just did it!) but very hard to solve. We give an overview of the problem, and along the way demonstrate the deep and far-reaching connections to the wider field of analytic number theory.