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Number Theory – Diophantine Problems, Uniform Distribution and Applications

Overview of attention for book
Cover of 'Number Theory – Diophantine Problems, Uniform Distribution and Applications'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 On Nearly Linear Recurrence Sequences
  3. Altmetric Badge
    Chapter 2 Risk Theory with Affine Dividend Payment Strategies
  4. Altmetric Badge
    Chapter 3 A Discrepancy Problem: Balancing Infinite Dimensional Vectors
  5. Altmetric Badge
    Chapter 4 Squares with Three Nonzero Digits
  6. Altmetric Badge
    Chapter 5 On the Density of Coprime Tuples of the Form ( n , ⌊ f 1 ( n )⌋, …, ⌊ f k ( n )⌋), Where f 1 , …, f k Are Functions from a Hardy Field
  7. Altmetric Badge
    Chapter 6 On the Uniform Theory of Lacunary Series
  8. Altmetric Badge
    Chapter 7 Diversity in Parametric Families of Number Fields
  9. Altmetric Badge
    Chapter 8 Local Oscillations in Moderately Dense Sequences of Primes
  10. Altmetric Badge
    Chapter 9 Sums of the Digits in Bases 2 and 3
  11. Altmetric Badge
    Chapter 10 On the Discrepancy of Halton–Kronecker Sequences
  12. Altmetric Badge
    Chapter 11 More on Diophantine Sextuples
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    Chapter 12 Effective Results for Discriminant Equations over Finitely Generated Integral Domains
  14. Altmetric Badge
    Chapter 13 Quasi-Equivalence of Heights and Runge’s Theorem
  15. Altmetric Badge
    Chapter 14 On the Monoid Generated by a Lucas Sequence
  16. Altmetric Badge
    Chapter 15 Measures of Pseudorandomness: Arithmetic Autocorrelation and Correlation Measure
  17. Altmetric Badge
    Chapter 16 On Multiplicative Independent Bases for Canonical Number Systems in Cyclotomic Number Fields
  18. Altmetric Badge
    Chapter 17 Refined Estimates for Exponential Sums and a Problem Concerning the Product of Three L -Series
  19. Altmetric Badge
    Chapter 18 Orbits of Algebraic Dynamical Systems in Subgroups and Subfields
  20. Altmetric Badge
    Chapter 19 Patterns of Primes in Arithmetic Progressions
  21. Altmetric Badge
    Chapter 20 On Simple Linear Recurrences
  22. Altmetric Badge
    Chapter 21 Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures
  23. Altmetric Badge
    Chapter 22 Discrepancy Bounds for β $$\boldsymbol{\beta }$$ -adic Halton Sequences
Attention for Chapter 14: On the Monoid Generated by a Lucas Sequence
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Chapter title
On the Monoid Generated by a Lucas Sequence
Chapter number 14
Book title
Number Theory – Diophantine Problems, Uniform Distribution and Applications
Published in
arXiv, January 2017
DOI 10.1007/978-3-319-55357-3_14
Book ISBNs
978-3-31-955356-6, 978-3-31-955357-3
Authors

Clemens Heuberger, Stephan Wagner, Heuberger, Clemens, Wagner, Stephan

X Demographics

X Demographics

The data shown below were collected from the profiles of 3 X users 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 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 %
Researcher 1 50%
Lecturer > Senior Lecturer 1 50%
Readers by discipline Count As %
Mathematics 2 100%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. 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 June 2016.
All research outputs
#16,069,695
of 23,852,579 outputs
Outputs from arXiv
#392,273
of 990,619 outputs
Outputs of similar age
#261,684
of 425,078 outputs
Outputs of similar age from arXiv
#7,173
of 16,522 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 22nd percentile – i.e., 22% of other outputs scored the same or lower than it.
So far Altmetric has tracked 990,619 research outputs from this source. They receive a mean Attention Score of 4.0. This one has gotten more attention than average, scoring higher than 53% 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 425,078 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 29th percentile – i.e., 29% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 16,522 others from the same source and published within six weeks on either side of this one. This one is in the 45th percentile – i.e., 45% of its contemporaries scored the same or lower than it.