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A Sharp Bound on Positive Solutions of Linear Diophantine Equations

✍ Scribed by Borosh, I.; Treybig, L. B.


Book ID
118212588
Publisher
Society for Industrial and Applied Mathematics
Year
1992
Tongue
English
Weight
442 KB
Volume
13
Category
Article
ISSN
0895-4798

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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