Divisor function

Definition of a Zero Divisor with Examples of Zero Divisors

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Zero Divisor with Examples of Zero Divisors - Examples of zero divisors in Z_m the ring with addition modulo m and multiplication modulo m. Examples are done with Z_8 and Z_4. - Example of a zero divisor with the D

From playlist Abstract Algebra

Distributive Property

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

Why does the distributive property Where does it come from

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

How to Use the Distributive Property to Multiply Binomials - Polynomials

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

How to Simplify an Expression Using Distributive Property - Math Tutorial

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

How do we multiply polynomials

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

Polynomial Division (2 of 3: Understanding polynomial remainders)

More resources available at www.misterwootube.com

From playlist Further Polynomials

How To Multiply Using Foil - Math Tutorial

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply Polynomials

Elliptic Curves - Lecture 6b - Divisors and differentials

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Breaking down long division step by step of polynomials

👉 Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a p

From playlist Divide Polynomials using Long Division with linear binomial divisor

Schemes 35: Divisors on a Riemann surface

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we discuss the divisors on Riemann surfaces of genus 0 or 1, and show how the classical theory of elliptic functions determines the divisor cla

From playlist Algebraic geometry II: Schemes

“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 6 of 8)

“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th

From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao

Schemes 36: Weil and Cartier divisors

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we define Weil and Cartier divisors and divisor classes, and give some simple examples of the groups of divisor classes.

From playlist Algebraic geometry II: Schemes

Elliptic Curves - Lecture 7 - Riemann-Roch, Hurwitz, and Weierstrass equations

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Elliptic Curves - Lecture 9b - The (Picard) group law

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

Weil conjectures 2: Functional equation

This is the second lecture about the Weil conjectures. We show that the Riemann-Roch theorem implies the rationality and functional equation of the zeta function of a curve over a finite field.

From playlist Algebraic geometry: extra topics

Weil conjectures 1 Introduction

This talk is the first of a series of talks on the Weil conejctures. We recall properties of the Riemann zeta function, and describe how Artin used these to motivate the definition of the zeta function of a curve over a finite field. We then describe Weil's generalization of this to varie

From playlist Algebraic geometry: extra topics

“Gauss sums and the Weil Conjectures,” by Bin Zhao (Part 5 of 8)

“Gauss sums and the Weil Conjectures,” by Bin Zhao. The topics include will Gauss sums, Jacobi sums, and Weil’s original argument for diagonal hypersurfaces when he raised his conjectures. Further developments towards the Langlands program and the modularity theorem will be mentioned at th

From playlist CTNT 2016 - ``Gauss sums and the Weil Conjectures" by Bin Zhao

Synthetically dividing with a fraction

👉 Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a p

From playlist Divide Polynomials using Long Division with linear binomial divisor

Schemes 37: Comparison of Weil and Cartier divisors

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we compare Cartier and Weil divisors, showing that for Noethernian integral schems the map from Cartier to Weil divisors is injective if the sc

From playlist Algebraic geometry II: Schemes