Stephanie Chan
Browning Group
11 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 | 
Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
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S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |
6-torision and integral points on quartic threefolds
Chan, Yik Tung, 6-torision and integral points on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2025
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Chan, Yik Tung, 6-torision and integral points on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2025
2024 | Published | Journal Article | IST-REx-ID: 18064 |
The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
[Published Version]
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| arXiv
S. Chan, Advances in Mathematics 457 (2024).
2024 | Published | Journal Article | IST-REx-ID: 19486 |
The 3-isogeny selmer groups of the elliptic curves y2=x3+n2
Chan, Yik Tung, The 3-isogeny selmer groups of the elliptic curves y2=x3+n2. International Mathematics Research Notices 2024 (9). 2024
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Chan, Yik Tung, The 3-isogeny selmer groups of the elliptic curves y2=x3+n2. International Mathematics Research Notices 2024 (9). 2024
2023 | Published | Journal Article | IST-REx-ID: 19487 |
Integral points on cubic twists of Mordell curves
Chan, Yik Tung, Integral points on cubic twists of Mordell curves. Mathematische Annalen 388 (3). 2023
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Chan, Yik Tung, Integral points on cubic twists of Mordell curves. Mathematische Annalen 388 (3). 2023
2022 | Published | Journal Article | IST-REx-ID: 19491 |
The 8-rank of the narrow class group and the negative Pell equation
Chan, Yik Tung, The 8-rank of the narrow class group and the negative Pell equation. Forum of Mathematics, Sigma 10. 2022
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Chan, Yik Tung, The 8-rank of the narrow class group and the negative Pell equation. Forum of Mathematics, Sigma 10. 2022
2022 | Published | Journal Article | IST-REx-ID: 19490 |
Integral points on the congruent number curve
Chan, Yik Tung, Integral points on the congruent number curve. Transactions of the American Mathematical Society 375 (9). 2022
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Chan, Yik Tung, Integral points on the congruent number curve. Transactions of the American Mathematical Society 375 (9). 2022
2021 | Published | Journal Article | IST-REx-ID: 19489 |
A density of ramified primes
Chan, Yik Tung, A density of ramified primes. Research in Number Theory 8. 2021
[Published Version]
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Chan, Yik Tung, A density of ramified primes. Research in Number Theory 8. 2021
2021 | Published | Journal Article | IST-REx-ID: 19492 |
Kuroda’s formula and arithmetic statistics
Chan, Yik Tung, Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift 300 (2). 2021
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Chan, Yik Tung, Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift 300 (2). 2021
2019 | Published | Journal Article | IST-REx-ID: 19493 |
Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion
Chan, Yik Tung, Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion. The Open Book Series 2. 2019
[Preprint]
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Chan, Yik Tung, Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion. The Open Book Series 2. 2019
2018 | Published | Journal Article | IST-REx-ID: 19494 |
Rational right triangles of a given area
Chan, Yik Tung, Rational right triangles of a given area. The American Mathematical Monthly 125 (8). 2018
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Chan, Yik Tung, Rational right triangles of a given area. The American Mathematical Monthly 125 (8). 2018
Grants
11 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 |
Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
[Published Version]
View
| DOI
| Download Published Version (ext.)
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |
6-torision and integral points on quartic threefolds
Chan, Yik Tung, 6-torision and integral points on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2025
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, 6-torision and integral points on quartic threefolds. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 2025
2024 | Published | Journal Article | IST-REx-ID: 18064 |
The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
S. Chan, Advances in Mathematics 457 (2024).
2024 | Published | Journal Article | IST-REx-ID: 19486 |
The 3-isogeny selmer groups of the elliptic curves y2=x3+n2
Chan, Yik Tung, The 3-isogeny selmer groups of the elliptic curves y2=x3+n2. International Mathematics Research Notices 2024 (9). 2024
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, The 3-isogeny selmer groups of the elliptic curves y2=x3+n2. International Mathematics Research Notices 2024 (9). 2024
2023 | Published | Journal Article | IST-REx-ID: 19487 |
Integral points on cubic twists of Mordell curves
Chan, Yik Tung, Integral points on cubic twists of Mordell curves. Mathematische Annalen 388 (3). 2023
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, Integral points on cubic twists of Mordell curves. Mathematische Annalen 388 (3). 2023
2022 | Published | Journal Article | IST-REx-ID: 19491 |
The 8-rank of the narrow class group and the negative Pell equation
Chan, Yik Tung, The 8-rank of the narrow class group and the negative Pell equation. Forum of Mathematics, Sigma 10. 2022
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
Chan, Yik Tung, The 8-rank of the narrow class group and the negative Pell equation. Forum of Mathematics, Sigma 10. 2022
2022 | Published | Journal Article | IST-REx-ID: 19490 |
Integral points on the congruent number curve
Chan, Yik Tung, Integral points on the congruent number curve. Transactions of the American Mathematical Society 375 (9). 2022
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, Integral points on the congruent number curve. Transactions of the American Mathematical Society 375 (9). 2022
2021 | Published | Journal Article | IST-REx-ID: 19489 |
A density of ramified primes
Chan, Yik Tung, A density of ramified primes. Research in Number Theory 8. 2021
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
Chan, Yik Tung, A density of ramified primes. Research in Number Theory 8. 2021
2021 | Published | Journal Article | IST-REx-ID: 19492 |
Kuroda’s formula and arithmetic statistics
Chan, Yik Tung, Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift 300 (2). 2021
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift 300 (2). 2021
2019 | Published | Journal Article | IST-REx-ID: 19493 |
Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion
Chan, Yik Tung, Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion. The Open Book Series 2. 2019
[Preprint]
View
| DOI
| Download Preprint (ext.)
Chan, Yik Tung, Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion. The Open Book Series 2. 2019
2018 | Published | Journal Article | IST-REx-ID: 19494 |
Rational right triangles of a given area
Chan, Yik Tung, Rational right triangles of a given area. The American Mathematical Monthly 125 (8). 2018
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Chan, Yik Tung, Rational right triangles of a given area. The American Mathematical Monthly 125 (8). 2018