The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
On Siegel Modular Forms of Degree Three
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“COROLLARY 2.4. We have dim M12 = 6, dim S12 = 2.”
From Dimensions of spaces of Siegel modular forms of low weight in degree four (1996) · cites this paper as [14]
In the citing paper
“The dimensions of the Mk are known for g ≤ 3 [14]”
From Dimensions of spaces of Siegel modular forms of low weight in degree four (1996) · cites this paper as [14]
Citations
Cites
The Index of Elliptic Operators: III
Atiyah, M. F., & Singer, I. M. (1968) · The Annals of Mathematics · doi:10.2307/1970717 · Cited by 1,254
On Siegel Modular Forms of Genus Two
Igusa, J.-I. (1962) · American Journal of Mathematics · doi:10.2307/2372812 · Cited by 361
Hirzebruch's proportionality theorem in the non-compact case
Mumford, D. (1977) · Inventiones mathematicae · doi:10.1007/bf01389790 · Cited by 272
Modular Forms and Projective Invariants
Igusa, J.-I. (1967) · American Journal of Mathematics · doi:10.2307/2373243 · Cited by 184
On the Graded Ring of Invariants of Binary Octavics
Shioda, T. (1967) · American Journal of Mathematics · doi:10.2307/2373415 · Cited by 137
Cited by
Linear dependence among Siegel modular forms
Poor, C., & Yuen, D. S. (2000) · Mathematische Annalen · doi:10.1007/s002080000083 · Cited by 34
Dimensions of spaces of Siegel modular forms of low weight in degree four
Poor, C., & Yuen, D. S. (1996) · Bulletin of the Australian Mathematical Society · doi:10.1017/s0004972700017779 · Cited by 19
“The dimensions of theM g are known for g ≤ 3 [14]; previously it was known [6, pg.”
BackgroundOn Dimension Formula for Siegel Modular Forms
Tsushima, R. (1989) · Automorphic Forms and Geometry of Arithmetic Varieties · doi:10.1016/b978-0-12-330580-0.50010-0 · Cited by 4
Metadata
- Authors
- Tsuyumine, S.
- Corresponding author
- Tsuyumine, Shigeaki
- ORCID
- Tsuyumine, Shigeaki
- Venue
- American Journal of Mathematics
- Publisher
- JSTOR
- Published
- 1986-08
- Volume
- 108
- Issue
- 4
- Pages
- 755
- ISSN
- 0002-9327 (ISSN-L)
- OpenAlex
- W2322340559
- Cited by
- 69
- References
- 5
- Citations by year
- 2025: 4 · 2024: 1 · 2023: 4 · 2022: 2 · 2021: 4 · 2020: 2 · 2019: 3 · 2018: 3 · 2017: 1 · 2016: 4 · 2015: 3 · 2014: 3 · 2013: 4 · 2012: 3
- FWCI
- 1.87
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- American Journal of Mathematics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Algebra and Number Theory › Analytic Number Theory Research
- Keywords
- Siegel modular forms, Jacobi forms, automorphic forms, modular forms of several variables
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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.
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Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On Siegel Modular Forms of Degree Three. https://app.cochat.ai/papers/10.2307/2374517
- The paper
- Tsuyumine, S. (1986). On Siegel Modular Forms of Degree Three. American Journal of Mathematics. https://doi.org/10.2307/2374517
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.
