Arithmetic functions and integer products /
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Main Author: | |
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Format: | Book |
Language: | English |
Published: |
New York :
Springer-Verlag,
[1985]
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Series: | Grundlehren der mathematischen Wissenschaften ;
272. |
Subjects: |
Table of Contents:
- First motive. Variants of well-known arithmetic inequalities
- A diophantine equation
- A first upper bound
- Intermezzo: the group Q*/T
- Some duality
- Second motive. Lemmas involving prime numbers
- Additive functions on arithmetic progressions with large moduli
- The loop
- Third motive. The approximate functional equations
- Additive arithmetic functions on differences
- Some historical remarks
- From L(2) to L(8)
- A problem fo Katai
- Inequalities in L(8)
- Integers as products
- The second intermezzo
- Product representations by values of rational functions
- Simultaneous product representations by values of rational functions
- Simultaneous product representations with a(i)x+b(i)
- Information and arithmetic
- Central limit theorem for diffeernces
- Density theorems
- Problems
- Supplement: Progress in probabilistic number theory.