Weierstrass elliptic function

Complex analysis: Weierstrass elliptic functions

This lecture is part of an online undergraduate course on complex analysis. We define the Weierstrass P and zeta functions and show they are elliptic. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN

From playlist Complex analysis

Infinite products & the Weierstrass factorization theorem

In this video we're going to explain the Weierstrass factorization theorem, giving rise to infinite product representations of functions. Classical examples are that of the Gamma function or the sine function. https://en.wikipedia.org/wiki/Weierstrass_factorization_theorem https://en.wiki

From playlist Programming

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

Applying reimann sum for the midpoint rule and 3 partitions

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

How to find the position function given the acceleration function

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist Riemann Sum Approximation

Midpoint riemann sum approximation

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

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

Math 139 Fourier Analysis Lecture 18: Weierstrass approximation; Heat Equation on the Line

Fourier transform and convolutions; Plancherel's theorem. Weierstrass approximation theorem. Application to PDEs: time-dependent heat equation on the line. The heat kernel. Convolution of a Schwartz-class function with the heat kernel solves the heat equation.

From playlist Course 8: Fourier Analysis

Introduction to elliptic curves and BSD Conjecture by Sujatha Ramadorai

12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

Stephanie Chan, Integral points in families of elliptic curves

VaNTAGe Seminar, June 28, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Hindry-Silverman: https://eudml.org/doc/143604 Alpoge: https://arxiv.org/abs/1412.1047 Bhargava-Shankar: https://arxiv.org/abs/1312.7859 Brumer-McGuiness: https://www.ams.org/journal

From playlist Arithmetic Statistics II

Minimal Discriminants and Minimal Weiestrass Forms For Elliptic Curves

This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.

From playlist ABC Conjecture Introduction

How to use midpoint rienmann sum with a table

👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the

From playlist The Integral

An Elliptic Curve Package for Mathematica

For the latest information, please visit: http://www.wolfram.com Speaker: John McGee Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.

From playlist Wolfram Technology Conference 2016

- David Zywina

David Zywina October 4, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

SummerSchool 20060728 1600 Darmon - Fermat curves and Wiles' Theorem

From playlist Clay Mathematics Institute Summer School 2006 on "Arithmetic geometry"

Wei Ho, Integral points on elliptic curves

VaNTAGe seminar, on Oct 13, 2020 License: CC-BY-NC-SA. Closed captions provided by Rachana Madhukara.

From playlist Rational points on elliptic curves

Noam Elkies, Rank speculation

VaNTAGe seminar, on Sep 15, 2020 License: CC-BY-NC-SA.

From playlist Rational points on elliptic curves

The Hasse-Weil zeta functions of the intersection cohomology... - YihangZhu

Joint IAS/Princeton University Number Theory Seminar Topic: The Hasse-Weil zeta functions of the intersection cohomology of minimally compactified orthogonal Shimura varieties Speaker: Yihang Zhu Affiliation: Harvard University Date: Oct 20, 2016 For more videos, visit http://video.ias.e

From playlist Mathematics

An Arithmetic Refinement of Homological Mirror Symmetry for the 2-Torus - Yanki Lekili

Yanki Lekili University of Cambridge November 9, 2012 We establish a derived equivalence of the Fukaya category of the 2-torus, relative to a basepoint, with the category of perfect complexes on the Tate curve over Z[[q]]. It specializes to an equivalence, over Z, of the Fukaya category o

From playlist Mathematics