University of Zagreb. Faculty of Science. Department of Mathematics.
Abstract
Ovaj diplomski rad podijelili smo na 4 poglavlja. Prvo poglavlje opisuje životopis J.P.G.L. Dirichleta i sadrži iskaze Dirichletovog teorema. U drugom poglavlju definirani su kljucni pojmovi za dokazivanje Dirichletovog teorema. To su Dirichletovi karakteri i Dirichletove L-funkcije. Na kraju rada dokazan je Dirichletov teorem u kvantitativnoj verziji kao i neke Leme potrebne za dokazivanje istog.This thesis consists of four chapters. The first chapter gives a biography of J.P.G.L. Dirichlet and contains the statements of Dirichlet’s Theorem. The second chapter contains definitions of key notions necessary for the proof of Dirichlet’s Theorem. These notions are Dirichlet characters and Dirichlet L-functions. The last two chapters contain the proof of Dirichlet’s Theorem, together with some lemmas necessary for the proof
