CODE 84023 ACADEMIC YEAR 2016/2017 CREDITS 7 cfu anno 3 MATEMATICA 8760 (L-35) - 7 cfu anno 1 MATEMATICA 9011 (LM-40) - 7 cfu anno 2 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italiano (Inglese a richiesta) TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: English AIMS AND CONTENT TEACHING METHODS Teaching style: In presence SYLLABUS/CONTENT Arithmetical functions: arithmetical and algebraic aspects, asymptotic behavior. Elementary methods for the distribution of primes: Euler, Legendre and Chebyshev. Elements of cryptography. Complements of Analysis: Dirichlet series, Mellin transform and Poisson formula. Riemann zeta function: general properties and distribution of zeros. Prime Number Theorem: explicit formulae and PNT with remainder. Dirichlet L-functions: Dirichlet characters, general properties of L-functions and distribution of zeros. Dirichlet's theorem: explicit formulae and Dirichlet's theorem with remainder. TEACHERS AND EXAM BOARD SANDRO BETTIN Exam Board SANDRO BETTIN (President) ALBERTO PERELLI STEFANO VIGNI LESSONS LESSONS START February 27, 2017 Class schedule NUMBER THEORY 1 EXAMS Exam schedule Data appello Orario Luogo Degree type Note 12/06/2017 14:30 GENOVA Orale 03/07/2017 14:30 GENOVA Orale 14/09/2017 14:30 GENOVA Orale