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Topics in number theory
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Topics in number theory
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Related lectures (28)
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Prime Numbers and Primality Testing
Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.
RSA Cryptography: Primality Testing and Quadratic Residues
Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.
Arithmetic functions
Covers the analysis of arithmetic functions, including prime numbers and the Riemann hypothesis.
Prime Gaps and Multiplicative Sieve Inequalities
Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.
Arithmetic Functions: Multiplicative Functions and Dirichlet Convolution
Covers multiplicative functions, Dirichlet convolution, and the Mobius function in arithmetic functions.
Mertens' Theorems and Mobius Function
Explores Mertens' theorems on prime estimates and the behavior of the Mobius function in relation to the prime number theorem.
Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Petersson Inner Product and Hecke Operators
Covers the Petersson inner product and Hecke operators in modular forms theory, exploring their definitions and properties.
Legendre and Jacobi Symbols: RSA Cryptography
Explores Legendre and Jacobi symbols, quadratic residuosity, element orders, and RSA Cryptography complexities.
Primes in Arithmetic Progression
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.