Publications

• F. Beukers, W.-L. Tsai, and D. Ye, Lucas congruences using modular forms, Bulletin of the London Mathematical Society, in press (arXiv).
• M. van Hoeij, W.-L. Tsai, and D. Ye, The modularity of Z.-W. Sun’s conjectural formulas for 1/π, Proceedings of the American Mathematical Society, in press (arXiv).
• M.J. Griffin, K. Ono K, and W.-L. Tsai, Distributions of hook lengths in integer partitions, Proceedings of the American Mathematical Society (Series B) 11 (2024), 422–435 (arXiv). Publisher’s Version.
• J.S. Balakrishnan, W. Craig, K. Ono, and W.-L. Tsai, Corrigendum to variants of Lehmer’s speculation for newforms, Advances in Mathematics 435 (2023), Part A (arXiv). Publisher’s Version.
• M.J. Griffin, K. Ono, L. Rolen, and W.-L. Tsai, Limiting Betti distributions of Hilbert schemes on n points, Canadian Mathematical Bulletin 66 (2023), 243–258 (arXiv). Publisher’s Version.
• J.S. Balakrishnan, W. Craig, K. Ono, and W.-L. Tsai, Variants of Lehmer’s speculation for newforms, Advances in Mathematics 428 (2023), 109–141 (arXiv). Publisher’s Version.
• M.J. Griffin, K. Ono, N. Saikia, and W.-L. Tsai, AGM and jellyfish swarms of elliptic curves, American Mathematical Monthly 130 (2023), 355–369 (arXiv). Publisher’s Version.
• J.S. Balakrishnan, K. Ono, and W.-L. Tsai, Even values of Ramanujan’s tau-function, La Matematica 1 (2022), 395–403 (arXiv). Publisher’s Version.
• R. Masri and W.-L. Tsai, Equidistribution of Fourier coefficients of integral weight Maass-Poincaré series, Advances in Mathematics 409 (2022), Part A. Publisher’s Version.
• M.J. Griffin, K. Ono, and W.-L. Tsai, Tamagawa products of elliptic curves over Q, The Quarterly Journal of Mathematics (Oxford) [Sir Michael Atiyah Memorial Issue] 72 (2021), 1517–1543 (arXiv). Publisher’s Version.
• M.J. Griffin, K. Ono, and W.-L. Tsai, Heights of points on elliptic curves over Q, Proceedings of the American Mathematical Society 149 (2021), 5093–5100 (arXiv). Publisher’s Version.
• M.J. Griffin, K. Ono, and W.-L. Tsai, Quadratic twists of elliptic curves and class numbers, Journal of Number Theory 227 (2021), 1–29 (arXiv). Publisher’s Version.
• A. Barquero-Sanchez, R. Masri, and W.-L. Tsai, Stark units and special Gamma values, Research in Number Theory 7 (2021), Article number: 38. Publisher’s Version.
• A. Hamakiotes, A. Kriegman, and W.-L. Tsai, Asymptotic distribution of the partition crank, The Ramanujan Journal 56 (2021), 803–820 (arXiv). Publisher’s Version.
• N. Khaochim, R. Masri, and W.-L. Tsai, The asymptotic distribution of traces of weak Maass forms, Mathematika 67 (2021), 739–787 Publisher’s Version.
• H. Ellers, M. Kenney, R. Masri, and W.-L. Tsai, Effective bounds for traces of singular moduli, Journal of Number Theory 212 (2020), 1–17 Publisher’s Version.
• N. Khaochim, R. Masri, and W.-L. Tsai, An effective bound for the partition function, Research in Number Theory 5 (2019), Article number: 14. Publisher’s Version.
• A. Iannuzzi, B.D. Kim, R. Masri, A. Mathers, M. Ross, and W.-L. Tsai, Nonvanishing of Hecke L-functions and Bloch-Kato p-Selmer groups, Mathematical Research Letters 26 (2019), 1145–1177 Publisher’s Version.
• M.-J. Hao, W.-L. Tsai, and Y.-C. Tsai, Squared envelope-based SNR estimation, Journal of the Chinese Institute of Engineers 36 (2013), 810–818 Publisher’s Version.

Preprints (several more in preparation)

• T. Bhowmik and W.-L. Tsai, Local limit theorems for hook lengths in partitions, submitted.
• R. Masri and W.-L. Tsai, Equidistribution of Fourier coefficients of half-integral weight Maass-Poincaré series, submitted.
• R. Masri, F. Thorne, W.-L. Tsai, and J. Wang, Malle’s conjecture for G × A, with G = S3, S4, S5, submitted (arXiv).