MATH 653 Introduction to Analytical Number Theory
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Primes in an arithmetic progression; Gauss' sum; primitive characters; Dirichlet's class number formula; the distribution of the primes; Riemann's zeta-function and Dirichlet $L$-functions; Explicit formulae and prime number theorems; the large sieve and Bombieri-Vinogradov theorem.
Credit units: 3 ECTS Credit units: 5.
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