84023 - Number Theory 1 (2018/2019)

General information

84023 - Number Theory 1 (TN1, 7 CFU), second semester, years: 3° LT; 1°, 2° LM.

Course content

Arithmetical functions: arithmetical and algebraic aspects, asymptotic behavior. Elementary methods for the distribution of primes: Euler, Legendre and Chebyshev. Elements of cryptography. Complements of Analysis: Dirichlet series, Mellin transform and Poisson formula. Riemann zeta function: general properties and distribution of zeros. Prime Number Theorem: explicit formulae and PNT with remainder. Dirichlet L-functions: Dirichlet characters, general properties of L-functions and distribution of zeros. Dirichlet's theorem: explicit formulae and Dirichlet's theorem with remainder.

Language

English

Teacher

Sandro Bettin

Teaching style

In presence

Attendance

Suggested