CODE 84023 ACADEMIC YEAR 2018/2019 CREDITS 7 cfu anno 3 MATEMATICA 8760 (L-35) - GENOVA 7 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA 7 cfu anno 2 MATEMATICA 9011 (LM-40) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 TEACHING LOCATION GENOVA 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 Class schedule NUMBER THEORY 1 EXAMS Exam schedule Data appello Orario Luogo Degree type Note 11/06/2019 09:30 GENOVA Scritto 11/06/2019 17:00 GENOVA Orale 02/07/2019 09:30 GENOVA Scritto 02/07/2019 16:30 GENOVA Orale 13/09/2019 09:30 GENOVA Scritto 13/09/2019 14:30 GENOVA Orale 13/09/2019 14:30 GENOVA Orale