Ternary Diophantine equations of signature (p, p, 3)
By Michael A. Bennett, V. Vatsal, Soroosh Yazdani. Compositio Mathematica, 2004
65 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Information Systems
View Paper: https://www.semanticscholar.org/paper/e98845b259b2aed3067169beae5134e6b0a11632
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In Computational Theory and Mathematics
- Samir Siksek
- Nuno Freitas
- Michael A. Bennett
- Soroosh Yazdani
- Sander R. Dahmen
- Imin Chen
- Andrej Dujella
- Clemens Fuchs
In Geometry and Topology
- Samir Siksek
- Nuno Freitas
- Soroosh Yazdani
- Michael A. Bennett
- Sander R. Dahmen
- Imin Chen
- Andrej Dujella
- Clemens Fuchs
In Information Systems
Citations in the corpus
- The Modular Approach to Diophantine Equations (2007, methodology): “(Bennett, Vatsal and Yazdani [3]) With notation and assumptions as above: (a) The conductor N of the curve E is given by N = Rad3(ABxy) Rad3(C)2 3 where 3 = 32 if 9 | (2 + C2Byp − 3Cz), 33 if 3 || (2 + C2Byp − 3Cz), 34 if ord3(Byp) = 1, 33 if ord3(Byp) = 2, 1 if ord3(Byp) = 3, 3 if ord3(Byp) > 3, 3”
- The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields (2013, background): “entioning related results on Fermat-type equations. Many results of the FLT or asymptotic FLT kind (but over Q) are established by Kraus [30], Bennett and Skinner [3], and Bennett, Vatsal and Yazdani [4] for equations of the form Ax p+By p+Cz = 0, Axp +By = Cz2, Axp+Byp = Cz3. Perhaps the most satis”
- Generalized Fermat equations: A miscellany (2015, background): “(p, p, 2)), [9, 57] (for signature (p, p, 3)), and to [6, 12, 13, 26, 37, 38, 42] (for various signatures of the shape (n, n, p) with n fixed).”