Torus knots and quantum modular forms
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2015/01/29
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Indian UGC (journal)
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Refrences30
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Citations20
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Kazuhiro Hikami
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Jeremy Lovejoy
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Bailey pairs and indefinite quadratic forms | Journal of Mathematical Analysis and Applications |
| 13 | 2014 |
| Modularity of the concave composition generating function | Algebra & Number Theory |
| 18 | 2013 |
MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS | Forum of Mathematics, Pi |
| 42 | 2013 |
Unimodal sequences and quantum and mock modular forms | Proceedings of the National Academy of Sciences |
| 37 | 2012 |
| Ramanujan-type partial theta identities and conjugate Bailey pairs | The Ramanujan Journal |
| 23 | 2012 |
Refrences Analysis
The category
Science: Mathematics 9
is the most frequently represented among the references in this article. It primarily includes studies from The Ramanujan Journal and Pacific Journal of Mathematics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy | Advances in Mathematics |
| 2023 | |
| Bailey pairs and indefinite quadratic forms, II. False indefinite theta functions | Research in Number Theory |
| 2022 | |
| A proof of the mod 4 unimodal sequence conjectures and related mock theta functions | Advances in Mathematics |
| 4 | 2022 |
Evolution properties of the knot’s defect | The European Physical Journal C |
| 3 | 2022 |
Differential expansion for antiparallel triple pretzels: the way the factorization is deformed | The European Physical Journal C |
| 5 | 2022 |
Citations Analysis
The category
Science: Mathematics 16
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled $${\mathrm {H}}$$ H -Harmonic Maaß-Jacobi forms of degree 1 and was published in 2015. The most recent citation comes from a 2023 study titled The mixed mock modularity of certain duals of generalized quantum modular forms of Hikami and Lovejoy. This article reached its peak citation in 2019, with 5 citations. It has been cited in 15 different journals, 6% of which are open access. Among related journals, the Advances in Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.