Lectures related to Summation Formulas of Arithmetic Functions

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Explores ideals in K[X], including PGCD, uniqueness, coprimality, and theorems of Bézout and Gauss.

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Introduces algorithms as problem-solving procedures, covering complexity, correctness, and implementation in various languages.

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

Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.

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