Sieve Methods, Exponential Sums, and their Applications in Number Theory

G. R. H. Greaves; G. Harman; M. N. Huxley

doi:10.1017/CBO9780511526091

Last updated 20/06/24: Online ordering is currently unavailable due to technical issues. We apologise for any delays responding to customers while we resolve this. For further updates please visit our website: https://www.cambridge.org/news-and-insights/technical-incident

Skip to main content Accessibility help

Home
Books
Sieve Methods, Exponential Sums, and their Applications in Number Theory

Sieve Methods, Exponential Sums, and their Applications in Number Theory

- Get access
  
  Buy a print copy
  
  Check if you have access via personal or institutional login
  
  Log in Register
Cited by 1
Cited by
- 1
Crossref Citations

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Kouznetsov, Dmitry Van Dorpe, Pol and Verellen, Niels 2022. Sieve of Eratosthenes for Bose-Einstein condensates in optical moiré lattices. Physical Review A, Vol. 105, Issue. 2,

CrossRef

Google Scholar

G. R. H. Greaves, University of Wales College of Cardiff, G. Harman, University of Wales College of Cardiff, M. N. Huxley, University of Wales College of Cardiff

Publisher:: Cambridge University Press
Online publication date:: February 2010
Print publication year:: 1997
Online ISBN:: 9780511526091
DOI:: https://doi.org/10.1017/CBO9780511526091

Subjects:: Mathematics (general), Mathematics, Number Theory
Series:: London Mathematical Society Lecture Note Series (237)

Information

Contents

Metrics

This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from many leading international figures in this area which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction between the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Sieve Methods, Exponential Sums, and their Applications in Number Theory

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Book description

Refine List

Actions for selected content:

Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Foreword
pp vii-vii

Index of Authors
pp viii-x

Participants in the Symposium
pp xi-xii

1 - The Exceptional Set for Goldbach's Problem in Short Intervals
pp 1-54

2 - On an Additive Property of Stable Sets
pp 55-64

3 - Squarefree Values of Polynomials and the abc-Conjecture
pp 65-86

4 - The Values of Binary Linear Forms at Prime Arguments
pp 87-100

5 - Some Applications of Sieves of Dimension exceeding 1
pp 101-108

6 - Representations by the Determinant and Mean Values of L-Functions
pp 109-116

7 - On the Montgomery-Hooley Asymptotic Formula
pp 117-142

8 - Franel Integrals
pp 143-160

9 - Eratosthenes, Legendre, Vinogradov and beyond
pp 161-174

10 - On Hypothesis K* in Waring's Problem
pp 175-186

11 - Moments of Differences between Square-free Numbers
pp 187-204

12 - On the Ternary Additive Divisor Problem and the Sixth Moment of the Zeta-Function
pp 205-244

13 - A Variant of the Circle Method
pp 245-254

14 - The Resemblance of the Behaviour of the Remainder Terms Eσ(t), Δ1-2σ(x) and R(σ + it)
pp 255-274

15 - A Note on the Number of Divisors of Quadratic Polynomials
pp 275-282

16 - On the Distribution of Integer Points in the Real Locus of an Affine Toric Variety
pp 283-292

17 - An Asymptotic Expansion of the Square of the Riemann Zeta-Function
pp 293-308

18 - The Mean Square of Dedekind Zeta-Functions of Quadratic Number Fields
pp 309-324

19 - Artin's Conjecture and Elliptic Analogues
pp 325-344

Metrics

Altmetric attention score

Full text views

Book summary page views

Sieve Methods, Exponential Sums, and their Applications in Number Theory

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views