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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.