Speaker: Ritwik Pal
Various summation formulas are very important tools in analytic number theory. We here wish to discuss two elementary (they don’t need complex analysis) summation formulas, namely, Abel’s summation formula and Dirichlet’s hyperbola method. We will also show some applications of them to estimate sums. I hope that the talk will be accessible to students who have had a course in real analysis in one variable.
Prerequisites: Basic real analysis