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Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations

✍ Scribed by Hajdu, L.; Kovács, T.

Book ID
127297355
Publisher
American Mathematical Society
Year
2008
Tongue
English
Weight
178 KB
Volume
78
Category
Article
ISSN
0025-5718

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📜 SIMILAR VOLUMES

Polynomial Bounds for the Solutions of a
Polynomial Bounds for the Solutions of a Class of Diophantine Equations
✍ Dimitrios Poulakis 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 320 KB

Let K be an algebraic number field such that all the embeddings of K into C are real. We denote by O K the ring of algebraic integers of K. Let F(X, Y) be an irreducible polynomial in K[X, Y ]&K[Y ] of total degree N and of degree n>0 in Y. We denote by F N (X, Y ) its leading homogeneous part. Supp