MATH 653 Introduction to Analytical Number Theory

Primes in an arithmetic progression; Gauss' sum; primitive characters; Dirichlet's class number formula; the distribution of the primes; Riemann's zetafunction and Dirichlet $L$functions; Explicit formulae and prime number theorems; the large sieve and BombieriVinogradov theorem.
Credit units: 3 ECTS Credit units: 5.



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