Analytic continuation

Math 135 Complex Analysis Lecture 24 042315: Analytic Continuation

Analytic continuation: function element; direct analytic continuation; global analytic function; analytic continuation. Analytic continuation along a curve is essentially unique; statement of Monodromy theorem.

From playlist Course 8: Complex Analysis

Analytic Continuation and the Zeta Function

Where do complex functions come from? In this video we explore the idea of analytic continuation, a powerful technique which allows us to extend functions such as sin(x) from the real numbers into the complex plane. Using analytic continuation we can finally define the zeta function for co

From playlist Analytic Number Theory

Analytic Continuation I The Identity Theorem I Complex Analysis #26

Analytic Continuation and the Identity theorem in Complex Analysis explained. Analytic continuation is a method to expand the domain of an analytic function and the Identity theorem tells us everything we need to know about analytic functions. The Identity Theorem is lowkey the greatest t

From playlist Summer of Math Exposition Youtube Videos

Thoughts on the 1-1+1-1+... Series - A Gentle Discussion About Analytic Continuation

We're going to mess around with some divergent series in this video, namely the Grandi Series, 1-1+1-1+... and the related series 1-2+3-4+... and I'll hopefully convince you that the sums that are associated with these divergent series make some sense when seen through the lens of calculus

From playlist Math

Complex analysis: Analytic continuation

This lecture is part of an online undergraduate course on complex analysis. We discuss analytic continuation, which is the extraordinary property that the values of a holomorphic function near one point determine its values at point far away. We give two examples of this: the gamma functi

From playlist Complex analysis

Number Theory 3.1: Analytic Continuation of the Xi/Zeta Function (ACZ 1/2)

In this video, I will prove the analytic continuation of the xi function, which will lead into the continuation of the Riemann Zeta Function. Translate This Video : http://www.youtube.com/timedtext_video?v=epnPu9mx738&ref=share Notes : None yet Patreon : https://www.patreon.com/user?u=164

From playlist Number Theory

Number Theory 1.4 : Analytic Continuation of the Zeta Function

In this video, I prove an analytic continuation of the Riemann Zeta function for all positive Re(z). Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Number Theory

Math 135 Complex Analysis Lecture 07 021015: Analytic Functions

Definition of conformal mappings; analytic implies conformal; Cauchy-Riemann equations are satisfied by analytic functions; partial converses (some proven, some only stated); definition of harmonic functions; harmonic conjugates

From playlist Course 8: Complex Analysis

11_3_6 Continuity and Differentiablility

Prerequisites for continuity. What criteria need to be fulfilled to call a multivariable function continuous.

From playlist Advanced Calculus / Multivariable Calculus

The Riemann Hypothesis - Picturing The Zeta Function

in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00

From playlist Summer of Math Exposition Youtube Videos

Miroslav Englis: Analytic continuation of Toeplitz operators

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 Analysis and its Applications

Lue Pan - Sen theory for locally analytic representations

Let p be a prime number. The classical work of Sen attaches an operator (called the Sen operator) to every finite-dimensional continuous p-adic representation of the absolute Galois group of Q_p. We will present a generalization of this construction to locally analytic Galois representatio

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

Lue Pan: Sen theory for locally analytic representations

HYBRID EVENT Recorded during the meeting "Franco-Asian Summer School on Arithmetic Geometry in Luminy" the June 03, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicia

From playlist Number Theory

Closed loop discrete controller Lecture 2019-04-08

Evaluating the response of a continuous system controlled by a discrete controller using several methods

From playlist Discrete

From continuous rational to regulous functions – Krzysztof Kurdyka & Wojciech Kucharz – ICM2018

Algebraic and Complex Geometry Invited Lecture 4.6 From continuous rational to regulous functions Krzysztof Kurdyka & Wojciech Kucharz Abstract: Let X be an algebraic set in ℝⁿ. Real-valued functions, defined on subsets of X, that are continuous and admit a rational representation have s

From playlist Algebraic & Complex Geometry

Complete Cohomology for Shimura Curves (Lecture 2) by Stefano Morra

Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last ye

From playlist Recent Developments Around P-adic Modular Forms (Online)

The Analytic S-matrix Bootstrap (Lecture - 01) by Alexander Zhiboedov

STRING THEORY LECTURES THE ANALYTIC S-MATRIX BOOTSTRAP SPEAKER: Alexander Zhiboedov (Theory Division, CERN, Geneva) DATE: 29 January 2019 to 31 January 2019 VENUE: Emmy Noether Seminar Room, ICTS Bangalore Lecture 1: Jan 29, 2019 at 11:00 am Lecture 2: Jan 30, 2019 at 11:00 am Lecture

From playlist Infosys-ICTS String Theory Lectures

Boris Adamczewski 04/27/18

Mahler's method: old and new

From playlist Spring 2018

Numberphile v. Math: the truth about 1+2+3+...=-1/12

Confused 1+2+3+…=-1/12 comments originating from that infamous Numberphile video keep flooding the comment sections of my and other math YouTubers videos. And so I think it’s time to have another serious go at setting the record straight by having a really close look at the bizarre calcula

From playlist Recent videos