The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
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.
Integrity signals
Registry
Cites
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.
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
Operator Algebras and Quantum Statistical Mechanics
Bratteli, O., & Robinson, D. W. (1997) · Springer eBooks · doi:10.1007/978-3-662-03444-6 · Cited by 2,985
Haag, R. (1996) · doi:10.1007/978-3-642-61458-3 · Cited by 2,443
C-Algebras and Their Automorphism Groups
Pedersen, G. K. (1979) · Cited by 2,423
The quantum theory of the emission and absorption of radiation
Dirac, P. A. M. (1927) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1927.0039 · Cited by 2,287
Introduction to the Arithmetic Theory of Automorphic Functions
Tretkoff, M., & Shimura, G. (1972) · Mathematics of Computation · doi:10.2307/2005900 · Cited by 2,010
WEIL, A. A. (1967) · Springer eBooks · doi:10.1007/978-1-4612-9834-2 · Cited by 1,223
Une classification des facteurs de type ${\rm III}$
Connes, A. (1973) · Annales scientifiques de l'École normale supérieure · doi:10.24033/asens.1247 · Cited by 553
Symmetric Hilbert Spaces and Related Topics
Guichardet, A. (1972) · Lecture Notes in Mathematics · doi:10.1007/bfb0070306 · Cited by 286
The flow of weights on factors of type ${\rm III}$
Connes, A., & Takesaki, M. (1977) · Tohoku Mathematical Journal · doi:10.2748/tmj/1178240493 · Cited by 215
Self-citationAraki, H., & Woods, E. J. (1968) · Publications of the Research Institute for Mathematical Sciences · doi:10.2977/prims/1195195263 · Cited by 187
Supersymmetry and the Möbius inversion function
Spector, D. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02096755 · Cited by 69
Cited by
Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
Connes, A. (1999) · Selecta Mathematica · doi:10.1007/s000290050042 · Cited by 339
Self-citation
Metadata
- Authors
- Bost, J. B., & Connes, A.
- Venue
- Selecta Mathematica
- Published
- 1995-09
- Volume
- 1
- Issue
- 3
- Pages
- 411-457
- ISSN
- 1022-1824 (ISSN-L)
- 1420-9020
- OpenAlex
- W2489640507
- Cited by
- 308
- References
- 11
- FWCI
- 4.37
- Type
- journal article
- Language
- en
- Open access
- closed
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
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.