2015 - 18th Annual Steven Galovich Memorial Student Symposium

Student Presenter(s) and Advisor

Ugur C. Cengiz, Lake Forest CollegeFollow

Location

Skybox

Abstract

A number is said to be “perfect” if it equals the sum of its proper divisors. For example 6 is “perfect” because 6 = 1 + 2 + 3. On the other hand, a polynomial with integer coefficients modulo 2 is said to be “perfect” if the sum of its divisors equals the polynomial itself. In this presentation, we will highlight work that has been done to identify and classify all “perfect” polynomials.

Presentation Type

Individual Presentation

Start Date

4-7-2015 1:00 PM

End Date

4-7-2015 2:15 PM

Panel

Quantitative Methods: Walks, Collisions, and More

Panel Moderator

Stewart Foley

Field of Study for Presentation

Computer Science, Mathematics

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Apr 7th, 1:00 PM Apr 7th, 2:15 PM

Finding perfect polynomials mod 2

Skybox

A number is said to be “perfect” if it equals the sum of its proper divisors. For example 6 is “perfect” because 6 = 1 + 2 + 3. On the other hand, a polynomial with integer coefficients modulo 2 is said to be “perfect” if the sum of its divisors equals the polynomial itself. In this presentation, we will highlight work that has been done to identify and classify all “perfect” polynomials.