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Algorithmic number theory : 7th international symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006 : proceedings

Overview of attention for book
Cover of 'Algorithmic number theory : 7th international symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006 : proceedings'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Computing Pro- P Galois Groups
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    Chapter 2 The Elliptic Curve Database for Conductors to 130000
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    Chapter 3 On the Computation of the Coefficients of a Modular Form
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    Chapter 4 Cohen–Lenstra Heuristics of Quadratic Number Fields
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    Chapter 5 An Algorithm for Computing p -Class Groups of Abelian Number Fields
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    Chapter 6 Computation of Locally Free Class Groups
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    Chapter 7 Numerical Results on Class Groups of Imaginary Quadratic Fields
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    Chapter 8 Cyclic Polynomials Arising from Kummer Theory of Norm Algebraic Tori
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    Chapter 9 The Totally Real Primitive Number Fields of Discriminant at Most 10 9
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    Chapter 10 A Modular Method for Computing the Splitting Field of a Polynomial
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    Chapter 11 On the Density of Sums of Three Cubes
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    Chapter 12 The Mertens Conjecture Revisited
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    Chapter 13 Fast Bounds on the Distribution of Smooth Numbers
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    Chapter 14 Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Bounded Variables
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    Chapter 15 The Pseudosquares Prime Sieve
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    Chapter 16 Doubly-Focused Enumeration of Pseudosquares and Pseudocubes
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    Chapter 17 Practical Lattice Basis Sampling Reduction
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    Chapter 18 LLL on the Average
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    Chapter 19 On the Randomness of Bits Generated by Sufficiently Smooth Functions
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    Chapter 20 Computing a Lower Bound for the Canonical Height on Elliptic Curves over ℚ
  22. Altmetric Badge
    Chapter 21 Points of Low Height on Elliptic Curves and Surfaces I: Elliptic Surfaces over  ${\mathbb P}^1$ with Small  d
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    Chapter 22 Shimura Curves for Level-3 Subgroups of the (2,3,7) Triangle Group, and Some Other Examples
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    Chapter 23 The Asymptotics of Points of Bounded Height on Diagonal Cubic and Quartic Threefolds
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    Chapter 24 Testing Equivalence of Ternary Cubics
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    Chapter 25 Classification of Genus 3 Curves in Special Strata of the Moduli Space
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    Chapter 26 Heegner Point Computations Via Numerical p -Adic Integration
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    Chapter 27 Symmetric Powers of Elliptic Curve L-Functions
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    Chapter 28 Determined Sequences, Continued Fractions, and Hyperelliptic Curves
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    Chapter 29 Computing CM Points on Shimura Curves Arising from Cocompact Arithmetic Triangle Groups
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    Chapter 30 Arithmetic of Generalized Jacobians
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    Chapter 31 Hidden Pairings and Trapdoor DDH Groups
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    Chapter 32 Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10
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    Chapter 33 Fast Bilinear Maps from the Tate-Lichtenbaum Pairing on Hyperelliptic Curves
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    Chapter 34 High Security Pairing-Based Cryptography Revisited
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    Chapter 35 Efficiently Computable Endomorphisms for Hyperelliptic Curves
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    Chapter 36 Construction of Rational Points on Elliptic Curves over Finite Fields
  38. Altmetric Badge
    Chapter 37 20 Years of ECM
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    Chapter 38 An Index Calculus Algorithm for Plane Curves of Small Degree
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    Chapter 39 Signature Calculus and Discrete Logarithm Problems
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    Chapter 40 Spectral Analysis of Pollard Rho Collisions
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    Chapter 41 Hard Instances of the Constrained Discrete Logarithm Problem
Attention for Chapter 12: The Mertens Conjecture Revisited
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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 (91st percentile)
  • High Attention Score compared to outputs of the same age and source (92nd percentile)

Mentioned by

blogs
1 blog
wikipedia
1 Wikipedia page

Citations

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8 Dimensions

Readers on

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2 Mendeley
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Chapter title
The Mertens Conjecture Revisited
Chapter number 12
Book title
Algorithmic Number Theory
Published in
Lecture notes in computer science, July 2006
DOI 10.1007/11792086_12
Book ISBNs
978-3-54-036075-9, 978-3-54-036076-6
Authors

Tadej Kotnik, Herman te Riele

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 50%
Student > Bachelor 1 50%
Other 1 50%
Readers by discipline Count As %
Mathematics 2 100%
Physics and Astronomy 1 50%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 12. 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 10 October 2018.
All research outputs
#2,459,276
of 22,783,848 outputs
Outputs from Lecture notes in computer science
#513
of 8,124 outputs
Outputs of similar age
#4,844
of 65,446 outputs
Outputs of similar age from Lecture notes in computer science
#2
of 25 outputs
Altmetric has tracked 22,783,848 research outputs across all sources so far. Compared to these this one has done well and is in the 88th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 8,124 research outputs from this source. They receive a mean Attention Score of 5.0. This one has done particularly well, scoring higher than 93% 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 65,446 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 91% of its contemporaries.
We're also able to compare this research output to 25 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 92% of its contemporaries.