## Introduction to Analytic Number Theory

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Analytische Zahlentheorie; Prime; Prime number; Riemann zeta function; calculus; number theory. No commercial reproduction, distribution, display or performance rights in this work are provided.

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## Introduction to Analytic Number Theory / Edition 1

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Is this you? The course builds up to the Prime Number Theorem which is the corner-stone of prime number theory, and culminates in a description of the Riemann Hypothesis, which is arguably the most important unsolved problem in modern mathematics. Learning Outcomes Students will learn to handle multiplicative functions, to deal with Dirichlet series as functions of a complex variable, and to prove the Prime Number Theorem and simple variants.

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Synopsis Introductory material on primes. Dirichlet series Euler products von Mangoldt function. Proof of the prime number theorem. The Riemann hypothesis and its significance. Skip to main content. Mathematical Institute Course Management.