von Känel, Rafael; Matschke, Benjamin Solving \(S\)-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via the Shimura-Taniyama conjecture. (English) Zbl 1527.11001 Memoirs of the American Mathematical Society 1419. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6416-5/pbk; 978-1-4704-7513-0/ebook). vi, 142 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11D25 11D59 11Y50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naik, Sunil L. On the number of prime divisors and radicals of non-zero Fourier coefficients of Hilbert cusp forms. (English) Zbl 1497.11119 Forum Math. 34, No. 6, 1519-1537 (2022). MSC: 11F41 11F30 11N56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caro, Jerson; Pasten, Hector Watkins’s conjecture for elliptic curves with non-split multiplicative reduction. (English) Zbl 1502.11063 Proc. Am. Math. Soc. 150, No. 8, 3245-3251 (2022). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11G18 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Looper, Nicole R. Dynamical uniform boundedness and the \(abc\)-conjecture. (English) Zbl 1468.14059 Invent. Math. 225, No. 1, 1-44 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 14H25 37C25 11C08 11R09 14E05 37F10 11D41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pasten, Hector Remarks on the size of the Tamagawa product. (English) Zbl 1464.11058 Comparin, Paola (ed.) et al., Geometry at the frontier. Symmetries and moduli spaces of algebraic varieties. 2016–2018 workshops, Universidad de la Frontera, Pucón, Chile, November 2016, November 2017, November 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 766, 277-282 (2021). MSC: 11G05 11J25 11G40 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Esparza-Lozano, Jose A.; Pasten, Hector A conjecture of Watkins for quadratic twists. (English) Zbl 1468.11125 Proc. Am. Math. Soc. 149, No. 6, 2381-2385 (2021). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11F11 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
von Känel, Rafael Integral points on moduli schemes of elliptic curves. (English) Zbl 1366.11062 Trans. Lond. Math. Soc. 1, No. 1, 85-115 (2014). MSC: 11D25 11G05 14D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandini, Andrea; Longhi, Ignazio; Vigni, Stefano Torsion points on elliptic curves over function fields and a theorem of Igusa. (English) Zbl 1247.11083 Expo. Math. 27, No. 3, 175-209 (2009). MSC: 11G05 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Browkin, Jerzy The \(abc\)-conjecture for algebraic numbers. (English) Zbl 1100.11034 Acta Math. Sin., Engl. Ser. 22, No. 1, 211-222 (2006). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R04 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Darmon, Henri Rigid local systems, Hilbert modular forms, and Fermat’s last theorem. (English) Zbl 1008.11023 Duke Math. J. 102, No. 3, 413-449 (2000). Reviewer: Michael Stoll (Bremen) MSC: 11G18 11F80 11D41 11G05 × Cite Format Result Cite Review PDF Full Text: DOI
Merel, Loïc Arithmetic of elliptic curves and diophantine equations. (English) Zbl 0964.11028 J. Théor. Nombres Bordx. 11, No. 1, 173-200 (1999). Reviewer: D.Poulakis (Thessaloniki) MSC: 11G05 11D41 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML EMIS
Kolyvagin, V. A. Modular hypothesis and Fermat’s Last Theorem. (English. Russian original) Zbl 0835.11021 Math. Notes 55, No. 2, 157-158 (1994); translation from Mat. Zametki 55, No. 2, 80-82 (1994). MSC: 11G05 11F11 11D41 × Cite Format Result Cite Review PDF Full Text: DOI
Ribet, Kenneth A. From the Taniyama-Shimura conjecture to Fermat’s last theorem. (English) Zbl 0726.14015 Ann. Fac. Sci. Toulouse, V. Sér., Math. 11, No. 1, 116-139 (1990). Reviewer: G.Faltings (Princeton) MSC: 14G05 14H52 11F80 11G05 11D41 14G35 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML