Recent progress in multiplicative number theory – Kaisa Matomäki & Maksym Radziwiłł – ICM2018
Number Theory Invited Lecture 3.5 Recent progress in multiplicative number theory Kaisa Matomäki & Maksym Radziwiłł Abstract: Multiplicative number theory aims to understand the ways in which integers factorize, and the distribution of integers with special multiplicative properties (suc
From playlist Number Theory
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
Joint IAS/Princeton University Number Theory Seminar Topic: Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative actions Speaker: Florian Richter Affiliation: Northwestern University Date: June 4, 2020 For more video please visit http://vi
From playlist Mathematics
Multiplicative order of a congruence class
In this video we introduce the concept of multiplicative order and we prove several properties and go over some examples. The content of this video corresponds to Section 8.1 of my book "Number Theory and Geometry" which you can find here: https://alozano.clas.uconn.edu/number-theory-and-
From playlist Number Theory and Geometry
Jean-Marie de Koninck: On the proximity of additive and multiplicative functions
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Number Theory
Introduction to number theory lecture 6. Multiplicative functions.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We give some examples of multiplicative functions and show how to calculate them. As an app
From playlist Introduction to number theory (Berkeley Math 115)
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
Number Theory | Modular Inverses: Example
We give an example of calculating inverses modulo n using two separate strategies.
From playlist Modular Arithmetic and Linear Congruences
Intro to Number Theory and The Divisibility Relation
This video introduces the divisibility relation and provided several examples. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Additive number theory: Extremal problems and the combinatorics of sum. (Lecture 4) by M. Nathanson
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Gaussian multiplicative chaos: applications and recent developments - Nina Holden
50 Years of Number Theory and Random Matrix Theory Conference Topic: Gaussian multiplicative chaos: applications and recent developments Speaker: Nina Holden Affiliation: ETH Zurich Date: June 22, 2022 I will give an introduction to Gaussian multiplicative chaos and some of its applicati
From playlist Mathematics
David BROADHURST - Tasmanian Adventures
I report on two adventures with Dirk Kreimer in Tasmania, 25 years ago. One of these, concerning knots, is not even wrong. The other, concerning a conjectural 4-term relation, is either wrong or right. I suggest that younger colleagues have powerful tools that might be brought to bear on t
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
What Would Multiple Universes Mean? | Episode 507 | Closer To Truth
Is there more than one universe? According to current cosmology, our entire gigantic universe is only one of innumerable universes, each universe like one tiny bubble in a limitless ocean of universes. What could all this mean? Featuring interviews with Max Tegmark, Anthony Aguirre, Alan G
From playlist Exploring the Multiverse - Closer To Truth - Core Topic
Richard Thomas - The Katz-Klemm-Vafa formula
Richard THOMAS (Imperial College London, UK)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
8ECM Invited Lecture: Emmanuel Kowalski
From playlist 8ECM Invited Lectures
Visual Group Theory: Lecture 7.4: Divisibility and factorization
Visual Group Theory: Lecture 7.4: Divisibility and factorization The ring of integers have a number of properties that we take for granted: every number can be factored uniquely into primes, and all pairs of numbers have a unique gcd and lcm. In this lecture, we investigate when this happ
From playlist Visual Group Theory
October 24, 2019, Kisun Lee Georgia Tech @ NYU
Original video of the talk is available here: https://youtu.be/rQa8jCOj2qA Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
October 24, 2019, Kisun Lee, Georgia Tech @ NYU
Slides are available at https://youtu.be/chp1O8qOdQ0 Title: Certifying solutions to a square analytic system Abstract: In this talk, we discuss about methods for proving existence and uniqueness of a root of a square analytic system in a given region. For a regular root, Krawczyk method
From playlist Fall 2019 Symbolic-Numeric Computing Seminar
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
Introduction to number theory lecture 27. Groups and number theory
This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We show how many of the theorems of number theory are special cases of theorems of groups t
From playlist Introduction to number theory (Berkeley Math 115)