Zeta and L-functions | Conjectures that have been proved
In mathematics, the Dwork unit root zeta function, named after Bernard Dwork, is the L-function attached to the p-adic Galois representation arising from the p-adic etale cohomology of an algebraic variety defined over a global function field of characteristic p. The Dwork conjecture (1973) states that his unit root zeta function is p-adic meromorphic everywhere. This conjecture was proved by Wan (2000). (Wikipedia).
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Verifying Solutions to Differential Equations
This video verifies solutions to differential equations when given the a function solution. Search Library at http://mathispower4u.wordpress.com
From playlist Introduction to Differential Equations
Existence & Uniqueness Theorem, Ex3
Existence & Uniqueness Theorem for differential equations. For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of differential equations: Check out the differential equation playlist:
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Finding dy/dx at specified values
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Finding dy/dx at specified values
From playlist Calculus
Separable Differential Equation dy/dx = -2xy/(1 + y) with Initial Condition
In this video we solve a separable differential equation and then we impose an initial condition at the end in order to find the value of C. The problem is to find the solution of the DE dy/dx = -2xy/(1 + y) with the property that y = 1 when x = 2. I hope this helps. If you enjoyed this v
From playlist Separable Differential Equations
Cynthia Dwork: How to Force Our Machines to Play Fair
Cynthia Dwork explains how to conduct a survey that asks people if they do embarrassing — or even illicit — things. QUANTA MAGAZINE Website: https://www.quantamagazine.org/ Facebook: https://www.facebook.com/QuantaNews Twitter: https://twitter.com/QuantaMagazine You can also sign up fo
From playlist Inside the Mind of a Scientist
Cynthia Dwork - Group Fairness and Individual Fairness Pt. 1/2 - IPAM at UCLA
Recorded 11 July 2022. Cynthia Dwork of Harvard University SEAS presents "Group Fairness and Individual Fairness" at IPAM's Graduate Summer School on Algorithmic Fairness. Abstract: The early literature on the theory of algorithmic fairness identified two categories of fairness notions: gr
From playlist 2022 Graduate Summer School on Algorithmic Fairness
Maths for Programmers: Introduction (What Is Discrete Mathematics?)
Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s
From playlist Maths for Programmers
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 8
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function IV
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Turing Lecture: Dr Cynthia Dwork, Privacy-Preserving Data Analysis
Doctor Cynthia Dwork: Privacy-Preserving Data Analysis Privacy-preserving data analysis has a long history, spanning at least five decades and numerous disciplines. Despite this extensive history, it is only in the last decade that an understanding has formed of the risk that the accumula
From playlist Turing Lectures
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function V
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function III
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function II
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Alex Mueller - Dwork's proof of the rationality of the Hasse-Weil zeta function I
Alex speaks on Dwork's computational intensive proof of the rationality of the Hasse-Weil zeta functions for smooth affine varieties, as given in Koblitz's book on p-adic analysis.
From playlist Alex Mueller giving Dwork's proof of rationality of zeta
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
What is the Difference Between dy/dx and d/dx
This video explains the difference between dy/dx and d/dx Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Random Math Videos
Divisibility, Prime Numbers, and Prime Factorization
Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one! Watch th
From playlist Mathematics (All Of It)
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 6
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications