1 “...The plan of this book had its inception in a course of lectures on arithmetical functions given...”

2 Table of Contents: “... -- The arithmetic functions of the Jacobi-Perron Algorithm -- Eulerian numbers and operators -- Some functions...”

3 Table of Contents: “... Properties of Arithmetical Functions -- 7. Generalized Arithmetical Functions -- References...”

4 Table of Contents: “... Equation -- 10 Additive Arithmetic Functions on Differences -- 11 Some Historical Remarks -- 12 From L2...”

5 Table of Contents: “...Historical Introduction -- 1 The Fundamental Theorem of Arithmetic -- 2 Arithmetical Functions...”

6 Table of Contents: “...I Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number...”

7 Table of Contents: “... -- 9 The linear sieve -- 10 Chen’s theorem -- III Appendix -- Arithmetic functions -- A.1 The ring...”

8 Table of Contents: “... of Euler’s Totient -- Special Arithmetic Function connected with the Divisors, or with the Digits of a Number...”

9 Table of Contents: “... Problems -- 8. Arithmetic Functions -- Hints to the More Difficult Exercises...”

10 Table of Contents: “... of arithmetic functions...”

11 Table of Contents: “... -- Arithmetical Functions -- The Theory of Partitions -- Topics from Analytic and Algebraic Number Theory...”

12 Table of Contents: “... and Primes in Multiplicative Number Theory -- Arithmetic Functions -- Divisor Functions -- Prime Numbers...”

13 Table of Contents: “... Equations. Arithmetical Functions. Theory of Congruences. Arithmetic of Elliptic Curves. Bibliographic Notes...”

14 Table of Contents: “... Conjecture on Average -- On Arithmetic Functions Involving Consecutive Divisors -- Small Zeros of Quadratic...”

15 Table of Contents: “... of Polynomials -- 5. The Distribution of Prime Numbers -- 6. Arithmetic Functions -- 7. Trigonometric Sums...”

16 Table of Contents: “...1 Polynomials over Finite Fields -- 2 Primes, Arithmetic Functions, and the Zeta Function -- 3...”

17 Table of Contents: “...-Efficient Threshold Circuits for Arithmetic Functions -- 3 Communication Complexity and Lower Bounds...”

18 Table of Contents: “... Finite Fields -- Continuous Homomorphisms as Arithmetical Functions, and Sets of Uniqueness...”

19 Table of Contents: “... -- On the representation of the summatory functions of a class of arithmetical functions -- P-adic L-functions at s=0...”

20 Table of Contents: “... Bases -- 4.4 Finding Numerical Relationships -- 5 Arithmetic Functions -- 5.1 Arithmetic Functions...”