Theta Functions on Riemann Surfaces
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Claims the paper makes
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
The ring of Siegel modular forms is a unique factorisation ring for g ≥ 3.
“the ring of Siegel modular forms is a unique factorisation ring for g ≥ 3 [7, 8]”
From Dimensions of spaces of Siegel modular forms of low weight in degree four (1996) · cites this paper as [7]
Cited by
Sorted by citations
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 · see citing works
“The final inclusion follows easily from the techniques for the degeneration of curves in [5].”
BackgroundMethod
- Authors
- Fay, J. D.
- Corresponding author
- Fay, John D.
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1973
- ISSN
- 0075-8434 (ISSN-L)
- 1617-9692
- OpenAlex
- W1540991653
- Cited by
- 1,315
- References
- 0
- Citations by year
- 2026: 15 · 2025: 20 · 2024: 27 · 2023: 25 · 2022: 28 · 2021: 26 · 2020: 42 · 2019: 38 · 2018: 35 · 2017: 28 · 2016: 48 · 2015: 40 · 2014: 37 · 2013: 42 · 2012: 58
- FWCI
- 1.03
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Lecture notes in mathematics (publishedVersion)
- International Linear Collider (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Geometry and Topology › Analytic and geometric function theory
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Keywords
- theta functions, Riemann surfaces, prime form, bordered Riemann surfaces
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.
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