2006

Handbook of Number Theory I

ISBN: 978-1-4020-4215-7 (Print) 978-1-4020-3658-3 (Online)

Table of contents (16 entries)

  1. Front Matter

    Pages i-7

  2. No Access

    Reference Work Entry

    Pages 9-37

    Euler’s ϕ-Function

  3. No Access

    Reference Work Entry

    Pages 39-75

    The Arithmetical Function d(N), Its Generalizations and Its Analogues

  4. No Access

    Reference Work Entry

    Pages 77-120

    Sum-of-Divisors Function, Generalizations, Analogues; Perfect Numbers and Related Problems

  5. No Access

    Reference Work Entry

    Pages 121-154

    P, p, B, β and Related Functions

  6. No Access

    Reference Work Entry

    Pages 155-185

    ω (n), Ω (n) and Related Functions

  7. No Access

    Reference Work Entry

    Pages 187-226

    Function μ; k-Free And k-Full Numbers

  8. No Access

    Reference Work Entry

    Pages 227-274

    Functions π(x), ψ(x), θ(x), and the Sequence of Prime Numbers

  9. No Access

    Reference Work Entry

    Pages 275-311

    Primes in Arithmetic Progressions and other Sequences

  10. No Access

    Reference Work Entry

    Pages 313-348

    Additive and Diophantine Problems Involving Primes

  11. No Access

    Reference Work Entry

    Pages 349-388

    Exponential Sums

  12. No Access

    Reference Work Entry

    Pages 389-416

    Character Sums

  13. No Access

    Reference Work Entry

    Pages 417-457

    Binomial Coefficients, Consecutive Integers and Related Problems

  14. No Access

    Reference Work Entry

    Pages 459-490

    Estimates Involving Finite Groups and Semi-Simple Rings

  15. No Access

    Reference Work Entry

    Pages 491-521

    Partitions

  16. No Access

    Reference Work Entry

    Pages 523-556

    Congruences, Residues and Primitive Roots

  17. No Access

    Reference Work Entry

    Pages 557-610

    Additive and Multiplicative Functions

  18. Back Matter

    Pages 611-622