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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 Putting the Hodge and Tate Conjectures to the Test
  3. Altmetric Badge
    Chapter 2 Curves of Genus 3 with a Group of Automorphisms Isomorphic to S3
  4. Altmetric Badge
    Chapter 3 Learning with Errors over Rings
  5. Altmetric Badge
    Chapter 4 Lattices and Spherical Designs
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    Chapter 5 Fixed Points for Discrete Logarithms
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    Chapter 6 Explicit Coleman Integration for Hyperelliptic Curves
  8. Altmetric Badge
    Chapter 7 Smallest Reduction Matrix of Binary Quadratic Forms
  9. Altmetric Badge
    Chapter 8 Practical Improvements to Class Group and Regulator Computation of Real Quadratic Fields
  10. Altmetric Badge
    Chapter 9 On the Use of the Negation Map in the Pollard Rho Method
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    Chapter 10 An O(M(n) logn) Algorithm for the Jacobi Symbol
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    Chapter 11 New Families of ECM Curves for Cunningham Numbers
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    Chapter 12 Visualizing Elements of Sha[3] in Genus 2 Jacobians
  14. Altmetric Badge
    Chapter 13 On Weil Polynomials of K3 Surfaces
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    Chapter 14 Class Invariants by the CRT Method
  16. Altmetric Badge
    Chapter 15 Short Bases of Lattices over Number Fields
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    Chapter 16 On the Complexity of the Montes Ideal Factorization Algorithm
  18. Altmetric Badge
    Chapter 17 Congruent Number Theta Coefficients to 1012
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    Chapter 18 Pairing the Volcano
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    Chapter 19 A Subexponential Algorithm for Evaluating Large Degree Isogenies
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    Chapter 20 Huff’s Model for Elliptic Curves
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    Chapter 21 Efficient Pairing Computation with Theta Functions
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    Chapter 22 Small-Span Characteristic Polynomials of Integer Symmetric Matrices
  24. Altmetric Badge
    Chapter 23 Decomposition Attack for the Jacobian of a Hyperelliptic Curve over an Extension Field
  25. Altmetric Badge
    Chapter 24 Factoring Polynomials over Local Fields II
  26. Altmetric Badge
    Chapter 25 On a Problem of Hajdu and Tengely
  27. Altmetric Badge
    Chapter 26 Sieving for Pseudosquares and Pseudocubes in Parallel Using Doubly-Focused Enumeration and Wheel Datastructures
  28. Altmetric Badge
    Chapter 27 On the Extremality of an 80-Dimensional Lattice
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    Chapter 28 Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
  30. Altmetric Badge
    Chapter 29 Improved Primality Proving with Eisenstein Pseudocubes
  31. Altmetric Badge
    Chapter 30 Hyperbolic Tessellations Associated to Bianchi Groups
Overall attention for this book and its chapters
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About this Attention Score

  • Above-average Attention Score compared to outputs of the same age (63rd percentile)
  • Good Attention Score compared to outputs of the same age and source (79th percentile)

Mentioned by

wikipedia
1 Wikipedia page

Citations

dimensions_citation
7 Dimensions

Readers on

mendeley
76 Mendeley
connotea
1 Connotea
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Title
Algorithmic Number Theory
Published by
arXiv, January 2010
DOI 10.1007/978-3-642-14518-6
ISBNs
978-3-64-214517-9, 978-3-64-214518-6
Editors

Guillaume Hanrot, François Morain, Emmanuel Thomé

Mendeley readers

The data shown below were compiled from readership statistics for 76 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 76 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 1%
Unknown 75 99%
Readers by discipline Count As %
Computer Science 1 1%
Unknown 75 99%

Attention Score in Context

This research output has an Altmetric Attention Score of 3. 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 01 November 2010.
All research outputs
#4,349,079
of 14,320,129 outputs
Outputs from arXiv
#95,083
of 556,721 outputs
Outputs of similar age
#140,188
of 401,138 outputs
Outputs of similar age from arXiv
#4,441
of 23,087 outputs
Altmetric has tracked 14,320,129 research outputs across all sources so far. This one is in the 49th percentile – i.e., 49% of other outputs scored the same or lower than it.
So far Altmetric has tracked 556,721 research outputs from this source. They receive a mean Attention Score of 3.8. This one has done well, scoring higher than 81% 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 401,138 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 63% of its contemporaries.
We're also able to compare this research output to 23,087 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 79% of its contemporaries.