Summation Formulas of Arithmetic Functions

This lecture introduces tools/methods for evaluating arithmetic functions 'on average', including the Euler-Maclaurin summation formula and the method of convolution. The slides cover topics such as completely multiplicative functions, main term and error term in summation formulas, and the proof of Euler-Maclaurin formula. The lecture emphasizes the importance of factorization in arithmetic functions and presents a constant Cx for the summation formula.