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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
  4. Altmetric Badge
    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
  8. Altmetric Badge
    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
  14. Altmetric Badge
    Chapter 13 Shimura Curve Computations Via K3 Surfaces of Néron–Severi Rank at Least 19
  15. Altmetric Badge
    Chapter 14 K3 Surfaces of Picard Rank One and Degree Two
  16. Altmetric Badge
    Chapter 15 Number Fields Ramified at One Prime
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    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
  21. Altmetric Badge
    Chapter 20 Computing Zeta Functions in Families of C a , b Curves Using Deformation
  22. Altmetric Badge
    Chapter 21 Computing L-series of hyperelliptic curves
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    Chapter 22 Point Counting on Singular Hypersurfaces
  24. Altmetric Badge
    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
  26. Altmetric Badge
    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
  29. Altmetric Badge
    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
Attention for Chapter 21: Computing L-series of hyperelliptic curves
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About this Attention Score

  • Good Attention Score compared to outputs of the same age (73rd percentile)
  • Above-average Attention Score compared to outputs of the same age and source (56th percentile)

Mentioned by

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1 X user
wikipedia
1 Wikipedia page

Citations

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8 Dimensions

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Chapter title
Computing L-series of hyperelliptic curves
Chapter number 21
Book title
Algorithmic Number Theory
Published in
Lecture notes in computer science, January 2008
DOI 10.1007/978-3-540-79456-1_21
Book ISBNs
978-3-54-079455-4, 978-3-54-079456-1
Authors

Kiran S. Kedlaya, Andrew V. Sutherland, Kedlaya, Kiran S., Sutherland, Andrew V.

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 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Greece 1 11%
Unknown 8 89%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 33%
Professor > Associate Professor 3 33%
Lecturer 1 11%
Student > Master 1 11%
Librarian 1 11%
Other 0 0%
Readers by discipline Count As %
Mathematics 6 67%
Computer Science 1 11%
Social Sciences 1 11%
Engineering 1 11%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 4. 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 09 March 2020.
All research outputs
#7,173,115
of 22,675,759 outputs
Outputs from Lecture notes in computer science
#2,402
of 8,122 outputs
Outputs of similar age
#40,743
of 155,851 outputs
Outputs of similar age from Lecture notes in computer science
#37
of 85 outputs
Altmetric has tracked 22,675,759 research outputs across all sources so far. This one has received more attention than most of these and is in the 67th percentile.
So far Altmetric has tracked 8,122 research outputs from this source. They receive a mean Attention Score of 5.0. This one has gotten more attention than average, scoring higher than 69% 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 155,851 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 73% of its contemporaries.
We're also able to compare this research output to 85 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 56% of its contemporaries.