Carneiro, Emanuel <br/><br/>
Teoria analítica dos números/ 
 Programa de Doutorado: Teoria analítica dos números 
Emanuel Carneiro. 
 - Rio de Janeiro:  IMPA,  2015. 
 - video online 
<br/><br/> Curso - 20 aulas. 
<br/><br/>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. 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Matematica.