Topics in Multiplicative Number Theory
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1971, 1971
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| Edition: | 1st ed. 1971 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Three basic principles
- The large sieve
- Arithmetic formulations of the large sieve
- A weighted sieve and its application
- A lower bound of Roth
- Classical mean value theorems
- New mean value theorems
- Large moduli theorems
- Further results and conjectures concerning mean and large moduli
- Mean moduli of L-functions
- Zero-free regions and the proliferation of zeros
- Distribution of zeros of L-functions
- Least character non-residues and arg L(12+it, x)
- The prime number theorems of Hoheisel and Selberg
- The bombieri — Vinogradov theorem
- A lemma in additive prime number theory
- The mean value theorem of Barban