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Computational Number Theory in the Modern World

Offered By: Wolfram via YouTube

Tags

Number Theory Courses Computational Mathematics Courses Factorization Courses Congruence Courses Analytic Number Theory Courses Zeta Functions Courses

Course Description

Overview

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Explore the fascinating world of computational number theory in this 26-minute Wolfram video. Delve into key concepts such as primes, factorization, divisibility, and congruence. Learn about advanced topics including prime Q and omega functions, tangent equations, digit representation, and integer partitions. Discover the applications of analytic number theory, seta functions, and perfect numbers. Gain insights into additive number theory and its relevance in modern mathematics and computation.

Syllabus

Introduction
What is Number Theory
Primes
Prime Q
Factorization
Prime Omega Functions
Divisibility
Divisors
Congruence
Tangent Equations
Digit Representation
Representations
Integer Partitions
Analytic Number Theory
Seta Functions
Perfect Numbers
Additive Number Theory


Taught by

Wolfram

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