Analytic number theory

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Related lectures (31)

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Dirichlet Characters: Definition and Properties

Explores Dirichlet characters, covering their definition, periodicity, and properties through a mock exam.

Number Theory: More Facts about Primes

Covers the distribution of primes, arithmetic progressions, Mersene primes, and Goldbach's Conjecture.

Cyclotomic Extensions: Norms, Ideals, and Primes

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Dynamics on homogeneous spaces and interactions with number theory

Explores dynamics on homogeneous spaces, Khintchine theorem, Sullivan's logarithm law, and interactions with number theory.

Number Theory: Operations and Equivalence

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.

Arithmetic Functions: Multiplicative Functions and Dirichlet Convolution

Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.

Counting Poker Dices: Combinatorial and Analytical Proofs

Explores cable connections, poker dice rolls, and analytical proofs in mathematics.

Modular Arithmetic: Understanding RSA Cryptosystem

Explores modular arithmetic and its role in the RSA cryptosystem for error detection.

Frobenius Theorems in Number Theory

Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.

Number Theory: Division, Remainder, Congruence

Covers number theory, division, remainder, congruence, prime numbers, integer representation, and the Euclidean algorithm.