Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 3)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 2)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 1)
The fundamental problem in the theory of Diophantine approximation is to understand how well points in the Euclidean space can be approximated by rational vectors with given bounds on denominators. It turns out that Diophantine properties of points can be encoded using flows on homogeneous
From playlist École d’été 2013 - Théorie des nombres et dynamique
Introduction to Solving Linear Diophantine Equations Using Congruence
This video defines a linear Diophantine equation and explains how to solve a linear Diophantine equation using congruence. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Number Theory | Linear Diophantine Equations
We explore the solvability of the linear Diophantine equation ax+by=c
From playlist Divisibility and the Euclidean Algorithm
Solve Diophantine Equation by Factoring
#shorts #mathonshorts
From playlist Elementary Number Theory
From playlist L. Number Theory
Diophantine Equations: Polynomials With 1 Unknown ← number theory ← axioms
Learn how to solve a Diophantine Equation that's a polynomial with one variable. We'll cover the algorithm you can use to find any & all integer solutions to these types of equations. written, presented, & produced by Michael Harrison #math #maths #mathematics you can support axioms on
From playlist Number Theory
Linear Diophantine Equations with 3 Variables - 3 Different Methods
We want to solve the linear Diophantine equation with 3 variables: 35x+55y+77z=1 for integer solutions in Three methods are discussed: 1. Split the equation into two linear equation each of which has two variables. 2. Parameterize with canonical form 3. Particular solution and general
From playlist Diophantine Equations - Elementary Number Theory
Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile
James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture. More links & stuff in full description below ↓↓↓ More James Maynard on Numberphile: http://bit.ly/JamesMaynard On the Duffin-Schaeffer conjecture - by Dimitris Koukoulopoulos and James Maynard - https://arxiv.
From playlist James Maynard on Numberphile
Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018
Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related
From playlist Plenary Lectures
Intrinsic Diophantine approximation (Lecture 3) by Amos Nevo
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
S-arithmetic Diophantine approximation - Shreyasi Datta
Special Year Informal Seminar Topic: S-arithmetic Diophantine approximation Speaker: Shreyasi Datta Affiliation: University of Michigan, Ann Arbor Date: December 02, 2022 Diophantine approximation deals with quantitative and qualitative aspects of approximating numbers by rationals. A ma
From playlist Mathematics
Intrinsic Diophantine approximation (Lecture 2) by Amos Nevo
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Osama Khalil: Diophantine approximation on fractals and homogeneous flows
The lecture was held within the framework of the Hausdorff Trimester Program "Dynamics: Topology and Numbers": Conference on "Dynamics on homogeneous spaces" Abstract: The theory of Diophantine approximation is underpinned by Dirichlet’s fundamental theorem. Broadly speaking, the main que
From playlist Conference: Dynamics on homogeneous spaces
Theory of numbers: Linear Diophantine equations
This lecture is part of an online undergraduate course on the theory of numbers. We show how to use Euclid's algorithm to solve linear Diophantine equations. As a variation, we discuss the problem of solving equations in non-negative integers. We also show how to solve systems of linear D
From playlist Theory of numbers
Diophantine approximation and Diophantine definitions - Héctor Pastén Vásquez
Short Talks by Postdoctoral Members Héctor Pastén Vásquez - September 29, 2015 http://www.math.ias.edu/calendar/event/88264/1443549600/1443550500 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members