↓ Skip to main content

From Arithmetic to Zeta-Functions

Overview of attention for book
Cover of 'From Arithmetic to Zeta-Functions'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Forbidden Integer Ratios of Consecutive Power Sums
  3. Altmetric Badge
    Chapter 2 A Note on the Negative Pell Equation
  4. Altmetric Badge
    Chapter 3 Localisation Conditionnelle de Diviseurs
  5. Altmetric Badge
    Chapter 4 A Ternary Problem in Additive Prime Number Theory
  6. Altmetric Badge
    Chapter 5 An Improvement of Liouville’s Inequality
  7. Altmetric Badge
    Chapter 6 Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method
  8. Altmetric Badge
    Chapter 7 Sums of Two Squares and a Power
  9. Altmetric Badge
    Chapter 8 Multiplicative Functions and the Sign of Maass Form Fourier Coefficients
  10. Altmetric Badge
    Chapter 9 On Error Sum Functions for Approximations with Arithmetic Conditions
  11. Altmetric Badge
    Chapter 10 Sum of the Lerch Zeta-Function over Nontrivial Zeros of the Dirichlet $$\boldsymbol{L}$$ -Function
  12. Altmetric Badge
    Chapter 11 Schur–Weyl Dualities Old and New
  13. Altmetric Badge
    Chapter 12 Arithmetic Functions: A Pivotal Topic in the Scientific Work of Wolfgang Schwarz
  14. Altmetric Badge
    Chapter 13 On Some Selected Works of Wolfgang Schwarz
  15. Altmetric Badge
    Chapter 14 Sums of Two Squares of Sums of Two Squares
  16. Altmetric Badge
    Chapter 15 The Joint Discrete Universality of Periodic Zeta-Functions
  17. Altmetric Badge
    Chapter 16 Remembering Wolfgang Schwarz, His Life and Work
  18. Altmetric Badge
    Chapter 17 Dynamical Systems and Uniform Distribution of Sequences
  19. Altmetric Badge
    Chapter 18 Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions
  20. Altmetric Badge
    Chapter 19 A Turán-Kubilius Inequality on Mappings of a Finite Set
  21. Altmetric Badge
    Chapter 20 Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz
  22. Altmetric Badge
    Chapter 21 Selberg Sums: A New Perspective
  23. Altmetric Badge
    Chapter 22 Polignac Numbers, Conjectures of Erdős on Gaps Between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture
  24. Altmetric Badge
    Chapter 23 Idempotents and Congruence $$\boldsymbol{ax}\boldsymbol{ \equiv b\pmod n}$$
  25. Altmetric Badge
    Chapter 24 Recent Developments on the Edge Between Number Theory and Graph Theory
  26. Altmetric Badge
    Chapter 25 The Leading Coefficients of Stern Polynomials
  27. Altmetric Badge
    Chapter 26 The Non-existence of Universal Carmichael Numbers
  28. Altmetric Badge
    Chapter 27 Arithmetic properties of blocks of consecutive integers
  29. Altmetric Badge
    Chapter 28 The GCD of the Shifted Fibonacci Sequence
  30. Altmetric Badge
    Chapter 29 On Liouville Numbers: Yet Another Application of Functional Analysis to Number Theory
  31. Altmetric Badge
    Chapter 30 Natural Boundaries of Power Series with Multiplicative Coefficients in Algebraic Number Fields
  32. Altmetric Badge
    Chapter 31 A Minimal Proof of a Result of Hardy
  33. Altmetric Badge
    Chapter 32 Regular Dessins with Abelian Automorphism Groups
Attention for Chapter 1: Forbidden Integer Ratios of Consecutive Power Sums
Altmetric Badge

About this Attention Score

  • Average Attention Score compared to outputs of the same age and source

Mentioned by

twitter
2 X users

Citations

dimensions_citation
4 Dimensions

Readers on

mendeley
1 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Chapter title
Forbidden Integer Ratios of Consecutive Power Sums
Chapter number 1
Book title
From Arithmetic to Zeta-Functions
Published in
arXiv, January 2016
DOI 10.1007/978-3-319-28203-9_1
Book ISBNs
978-3-31-928202-2, 978-3-31-928203-9
Authors

Ioulia N. Baoulina, Pieter Moree, Baoulina, Ioulia N., Moree, Pieter

X Demographics

X Demographics

The data shown below were collected from the profiles of 2 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 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 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 22 October 2015.
All research outputs
#19,246,640
of 23,852,579 outputs
Outputs from arXiv
#558,679
of 990,619 outputs
Outputs of similar age
#289,913
of 398,538 outputs
Outputs of similar age from arXiv
#6,070
of 13,759 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one is in the 11th percentile – i.e., 11% 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 is in the 29th percentile – i.e., 29% of its peers scored the same or lower than it.
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 398,538 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 15th percentile – i.e., 15% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 13,759 others from the same source and published within six weeks on either side of this one. This one is in the 35th percentile – i.e., 35% of its contemporaries scored the same or lower than it.