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Algorithmic Number Theory

Overview of attention for book
Cover of 'Algorithmic Number Theory'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Running Time Predictions for Factoring Algorithms
  3. Altmetric Badge
    Chapter 2 A New Look at an Old Equation
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    Chapter 3 Abelian Varieties with Prescribed Embedding Degree
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    Chapter 4 Almost Prime Orders of CM Elliptic Curves Modulo p
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    Chapter 5 Efficiently Computable Distortion Maps for Supersingular Curves
  7. Altmetric Badge
    Chapter 6 On Prime-Order Elliptic Curves with Embedding Degrees k  = 3, 4, and 6
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    Chapter 7 Computing in Component Groups of Elliptic Curves
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    Chapter 8 Some Improvements to 4-Descent on an Elliptic Curve
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    Chapter 9 Computing a Lower Bound for the Canonical Height on Elliptic Curves over Totally Real Number Fields
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    Chapter 10 Faster Multiplication in GF(2)[ x ]
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    Chapter 11 Predicting the Sieving Effort for the Number Field Sieve
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    Chapter 12 Improved Stage 2 to P ± 1 Factoring Algorithms
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    Chapter 13 Shimura Curve Computations Via K3 Surfaces of Néron–Severi Rank at Least 19
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    Chapter 14 K3 Surfaces of Picard Rank One and Degree Two
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    Chapter 15 Number Fields Ramified at One Prime
  17. Altmetric Badge
    Chapter 16 An Explicit Construction of Initial Perfect Quadratic Forms over Some Families of Totally Real Number Fields
  18. Altmetric Badge
    Chapter 17 Functorial Properties of Stark Units in Multiquadratic Extensions
  19. Altmetric Badge
    Chapter 18 Enumeration of Totally Real Number Fields of Bounded Root Discriminant
  20. Altmetric Badge
    Chapter 19 Computing Hilbert Class Polynomials
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    Chapter 20 Computing Zeta Functions in Families of C a , b Curves Using Deformation
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    Chapter 21 Computing L-series of hyperelliptic curves
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    Chapter 22 Point Counting on Singular Hypersurfaces
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    Chapter 23 Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors
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    Chapter 24 Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian
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    Chapter 25 Computing Hilbert Modular Forms over Fields with Nontrivial Class Group
  27. Altmetric Badge
    Chapter 26 Hecke Operators and Hilbert Modular Forms
  28. Altmetric Badge
    Chapter 27 A Birthday Paradox for Markov Chains, with an Optimal Bound for Collision in the Pollard Rho Algorithm for Discrete Logarithm
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    Chapter 28 An Improved Multi-set Algorithm for the Dense Subset Sum Problem
  30. Altmetric Badge
    Chapter 29 On the Diophantine Equation x 2  + 2 α 5 β 13 γ  =  y n
  31. Altmetric Badge
    Chapter 30 Non-vanishing of Dirichlet L -functions at the Central Point
Overall attention for this book and its chapters
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (88th percentile)
  • High Attention Score compared to outputs of the same age and source (82nd percentile)

Mentioned by

twitter
1 X user
wikipedia
10 Wikipedia pages
q&a
2 Q&A threads

Citations

dimensions_citation
8 Dimensions

Readers on

mendeley
1 Mendeley
Summary X Wikipedia Q&A Dimensions citations
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Title
Algorithmic Number Theory
Published by
Lecture notes in computer science, January 2008
DOI 10.1007/978-3-540-79456-1
ISBNs
978-3-54-079455-4, 978-3-54-079456-1
Authors

Alfred J. van der Poorten, Andreas Stein

Editors

Poorten, Alfred J., Stein, Andreas

View on publisher site Google Preview
X Demographics

X Demographics

The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
 Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Researcher 1 100%
Readers by discipline Count As %
Mathematics 1 100%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 9. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 16 June 2023.
All research outputs
#3,770,157
of 23,213,531 outputs
Outputs from Lecture notes in computer science
#877
of 8,154 outputs
Outputs of similar age
#17,634
of 157,731 outputs
Outputs of similar age from Lecture notes in computer science
#15
of 84 outputs
Altmetric has tracked 23,213,531 research outputs across all sources so far. Compared to these this one has done well and is in the 83rd percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 8,154 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 5.0. This one has done well, scoring higher than 89% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 157,731 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 88% of its contemporaries.
We're also able to compare this research output to 84 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 82% of its contemporaries.

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