Riemann surfaces

Prime form

In algebraic geometry, the Schottky–Klein prime form E(x,y) of a compact Riemann surface X depends on two elements x and y of X, and vanishes if and only if x = y. The prime form E is not quite a holomorphic function on X × X, but is a section of a holomorphic line bundle over this space. Prime forms were introduced by Friedrich Schottky and Felix Klein. Prime forms can be used to construct meromorphic functions on X with given poles and zeros. If Σniai is a divisor linearly equivalent to 0, then ΠE(x,ai)ni is a meromorphic function with given poles and zeros. (Wikipedia).

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Prime Numbers

"Identify prime numbers."

From playlist Number: Factors, Multiples & Primes

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Algebra - Ch. 6: Factoring (4 of 55) What is a Prime Number?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a prime number. A prime number is a positive integer that can only be written as a product of one and itself. Its factors are “1” and itself. To donate: http://www.ilectureonline.com/

From playlist ALGEBRA CH 6 FACTORING

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Interesting Facts About the Last Digits of Prime Numbers

This video explains some interesting facts about the last digits of prime numbers.

From playlist Mathematics General Interest

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Prime Factoring - GCSE Mathematics Revision (Foundation)

What are prime numbers? Learn how to find the prime factors of a number and write it as a product of prime factors. ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join

From playlist Number

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Prime Factorization

This video explains how to determine the prime factorization of a number using a factor tree. http://mathispower4u.yolasite.com/

From playlist Number Sense - Whole Numbers

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Product of Prime Factors GCSE 9-1 Maths

Writing a number as the product of its prime factors index form! An essential skill for higher and foundation GCSE 9-1 maths!

From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths

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How to Tell if a Number is a Prime Number

This tutorial explains how to determine whether or not a number is a prime number. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

From playlist Basic Math

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Introduction to number theory lecture 5. Primes.

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 discuss some basic properties of primes and prove the fundamental theorem of arithmetic.

From playlist Introduction to number theory (Berkeley Math 115)

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Theory of numbers: Euclid's theorem

This lecture is part of an online undergraduate course on the theory of numbers. We discuss Euclid's proof that there are infinitely many primes, and give a few variations of it showing that there are infinitely many primes in certain arithmetic progressions. A couple of typos pointed o

From playlist Theory of numbers

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CTNT 2018 - "Arithmetic Statistics" (Lecture 2) by Álvaro Lozano-Robledo

This is lecture 2 of a mini-course on "Arithmetic Statistics", taught by Álvaro Lozano-Robledo, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2018 - "Arithmetic Statistics" by Álvaro Lozano-Robledo

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Angelica Babei - A family of $\phi$-congruence subgroups of the modular group

In this talk, we introduce families of subgroups of finite index in the modular group, generalizing the congruence subgroups. One source of such families is studying homomorphisms of the modular group into linear algebraic groups over finite fields. In particular, we examine a family of no

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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Mod-03 Lec-13 Second Order Linear Equations Continued I

Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.

From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics

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Introduction to number theory lecture 41: More examples of binary quadratic forms

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 discriminants where not all forms are equivalent, and show that it

From playlist Introduction to number theory (Berkeley Math 115)

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Number Theory | Infinitely many primes of the form 4n+3.

We prove that there are infinitely many primes of the form 4n+3. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Number Theory

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Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]

Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration

From playlist Number Theory

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Galois Representations 1 by Shaunak Deo

PROGRAM : ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (ONLINE) ORGANIZERS : Ashay Burungale (California Institute of Technology, USA), Haruzo Hida (University of California, Los Angeles, USA), Somnath Jha (IIT - Kanpur, India) and Ye Tian (Chinese Academy of Sciences, China) DA

From playlist Elliptic Curves and the Special Values of L-functions (ONLINE)

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Prime Numbers

Powered by https://www.numerise.com/ What are prime numbers. What are composite numbers. www.hegartymaths.com http://www.hegartymaths.com/

From playlist Basic Arithmetic & Numeracy

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Mod-03 Lec-12 Second Order Linear Equations

Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.

From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics

Related pages

Riemann surface | Compact space | Felix Klein | Algebraic geometry | Fay's trisecant identity