Number Theory: Primes

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Related lectures (30)

Local Rings and Minimal Primes Log in to Mediaspace to watch this video

Explores local rings, Noetherian rings, and minimal primes in the context of integral domains.

Geometry: Euclidean Elements & Vitruvius Log in to Mediaspace to watch this video

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Untitled Log in to Mediaspace to watch this video

Prime Number Theorem Log in to Mediaspace to watch this video

Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.

Primes in arithmetic progressions (II), and Gamma functions Log in to Mediaspace to watch this video

Explores the existence of primes in arithmetic progressions and the properties of the Euler gamma function.

Mertens' Theorems and Mobius Function Log in to Mediaspace to watch this video

Explores Mertens' theorems on prime estimates and the behavior of the Mobius function in relation to the prime number theorem.

Lenstra's Algorithm: Integer Factorization Log in to Mediaspace to watch this video

Covers Lenstra's Algorithm for integer factorization, which efficiently computes prime factors of an integer.

Algebraic Structures: Groups and Rings Log in to Mediaspace to watch this video

Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.

Primes in Arithmetic Progression Log in to Mediaspace to watch this video

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

Arithmetic Fundamentals: Equivalence and Irreducibility Log in to Mediaspace to watch this video

Covers the fundamental theorem of arithmetic, focusing on equivalence and irreducibility of integers.

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