Teoria analítica dos números/
Carneiro, Emanuel
Teoria analítica dos números/ Programa de Doutorado: Teoria analítica dos números Emanuel Carneiro. - Rio de Janeiro: IMPA, 2015. - video online
Curso - 20 aulas.
Pré-requesitos: Variável Complexa Arithmetic functions; The Riemann zeta-function; Dirichlet characters; Dirichlet L-functions; Gauss sums; Ciclotomy; Primes in arithmetic progression; Functional equation for L-functions; Zero-free regions for z (s) and other L-functions; Prime Number Theorem; Siegel's theorem; Sieve methods; Exponential sums; Consequences of the Riemann hypothesis; Explicit formulas; Extremal functions and Fourier analysis methods; Elliptic functions; Weierstrass P-function; Eisenstein series; Identities involving sums of powers of divisors; Ramanujan tau function; Jacobi theta functions; Two-squares theorem; Four-squares theorem.
Matematica.
Teoria analítica dos números/ Programa de Doutorado: Teoria analítica dos números Emanuel Carneiro. - Rio de Janeiro: IMPA, 2015. - video online
Curso - 20 aulas.
Pré-requesitos: Variável Complexa Arithmetic functions; The Riemann zeta-function; Dirichlet characters; Dirichlet L-functions; Gauss sums; Ciclotomy; Primes in arithmetic progression; Functional equation for L-functions; Zero-free regions for z (s) and other L-functions; Prime Number Theorem; Siegel's theorem; Sieve methods; Exponential sums; Consequences of the Riemann hypothesis; Explicit formulas; Extremal functions and Fourier analysis methods; Elliptic functions; Weierstrass P-function; Eisenstein series; Identities involving sums of powers of divisors; Ramanujan tau function; Jacobi theta functions; Two-squares theorem; Four-squares theorem.
Matematica.