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An effective estimation of the bounds for the sizes of solutions of a class of Diophantine equations of the norm form

โœ Scribed by S. V. Kotov

Publisher
SP MAIK Nauka/Interperiodica
Year
1983
Tongue
English
Weight
322 KB
Volume
33
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

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Polynomial Bounds for the Solutions of a Class of Diophantine Equations
โœ Dimitrios Poulakis ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

An Absolute Bound for the Size of Diopha
An Absolute Bound for the Size of Diophantine m-Tuples
โœ Andrej Dujella ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct elements increased by 1 is a perfect square. We prove that if [a, b, c] is a Diophantine triple such that b>4a and c>max[b 13 , 10 20 ] or c>max[b 5 , 10 1029 ], then there is unique positive integer