Arithmetic Functions: Multiplicative Functions and Dirichlet Convolution

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Covers commutative groups and their significance in cryptography.

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

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

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

Covers the isoparametric formulation in the context of the finite element method.

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

Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.

Explores operations on ideals and structure theorems in commutative rings.

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