MVEX01-18-19 Summation formulas in analytic number theory

This project concerns one of the most important tools in analytic number theory, namely summation formulas. Particular attention will be paid to Euler-Maclaurin formula, Poisson summation formula and Voronoi summation formula. The main application will be to the study of summation formulas for the hyperbola and to Dirichlet's divisor problem. This problem has a long and rich history and concerns with investigation of one of the most "elementary" arithmetic functions in number theory - the divisor function d(n), which counts the number of positive divisors of a natural number "n".​ The expected outcome of the project is an account on the theory of summation formulas and the main techniques used in some of the results on Dirichlet's divisor problem. Furthermore, the project may include investigations on divisor problem in arithmetic progressions.​

For more details on the project, check here.

Obs! För GU-studenter räknas projektet som ett projekt i Matematik (MMG900/MMG910).​​

Projektkod MVEX01-18-19
Gruppstorlek 3-5
Handledare Olga Balkanova, baolga@chalmers.se, Sebastian Herrero, sebherr@chalmers.se.
Examinator Maria Roginskaya, Marina Axelson-Fisk
Institution Matematiska vetenskaper​

Publicerad: fr 27 okt 2017. Ändrad: fr 03 nov 2017