Lectures related to Completely multiplicative function

Covers the analysis of arithmetic functions, including prime numbers and the Riemann hypothesis.

Introduces the Euler product and Perron's formula in arithmetic functions.

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

Covers the Euler-Maclaurin summation formula and the method of convolution for evaluating arithmetic functions.

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Explores completely multiplicative functions, inversion, Mobius functions, and asymptotic estimation in mathematics.

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

Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Explores the Class Number Formula in number theory, focusing on Lemmas, Proofs, and a significant theorem.

Explains modular arithmetic operations and properties, including commutative rings and multiplicative inverses.

Covers modular arithmetic properties, computation examples, and commutative rings.

Discusses Fermat's equation and Gaussian integers' properties.

Covers Laplace transforms, transfer functions, and manipulation of block diagrams.

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

Covers the joint equidistribution of CM points and explores convergence in multiple variables.

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

Explains the properties of addition and multiplication in Q with illustrative examples.

Covers the construction and properties of rational numbers, including fractions and equivalence, with proofs on commutativity.

Explores the Euclidean algorithm, Bézout's identity, extended Euclid algorithm, and commutative groups in mathematics.