NUMBER THEORY 1

NUMBER THEORY 1

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iten
Code
84023
ACADEMIC YEAR
2018/2019
CREDITS
7 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA

7 credits during the 3nd year of 8760 Mathematics (L-35) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
TEACHING LOCATION
GENOVA (Mathematics)
semester
2° Semester
Teaching materials

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

Exam Board

SANDRO BETTIN (President)

STEFANO VIGNI

ALBERTO PERELLI

LESSONS

Teaching methods

Teaching style: In presence

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

Vedi anche:

NUMBER THEORY 1