Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 512

The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.

Linear power spectrum of observed source number counts

Open access
Challinor, Anthony, Lewis, Antony·2011·Physical Review D

Abstract

We relate the observable number of sources per solid angle and redshift to the underlying proper source density and velocity, background evolution, and line-of-sight potentials. We give an exact result in the case of linearized perturbations assuming general relativity. This consistently includes contributions of the source density perturbations and redshift distortions, magnification, radial displacement, and various additional linear terms that are small on subhorizon scales. In addition, we calculate the effect on observed luminosities and hence, the result for sources observed as a function of flux, including magnification bias and radial-displacement effects. We give the corresponding linear result for a magnitude-limited survey at low redshift, and discuss the angular power spectrum of the total count distribution. We also calculate the cross correlation with the CMB polarization and temperature including Doppler source terms, magnification, redshift distortions, and other velocity effects for the sources, and discuss why the contribution of redshift distortions is generally small. Finally, we relate the result for source number counts to that for the brightness of line radiation, for example, 21 cm radiation, from the sources.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1103/physrevd.84.043516

Cites

45 of 45 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 45 references

Cited by

See all 512

Metadata

Authors
Challinor, A., & Lewis, A.
Venue
Physical Review D
Published
2011-08-10
Volume
84
Issue
4
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W1986430556
Cited by
512
References
45
FWCI
15.21
Type
journal article
Language
en
Open access
green

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Linear power spectrum of observed source number counts. https://app.cochat.ai/papers/10.1103/physrevd.84.043516
The paper
Challinor, A., & Lewis, A. (2011). Linear power spectrum of observed source number counts. Physical Review D. https://doi.org/10.1103/physrevd.84.043516

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.