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The group of pythagorean triples in Number fields

โœ Scribed by P. Zanardo; U. Zannier


Book ID
112609476
Publisher
Springer
Year
1991
Tongue
English
Weight
413 KB
Volume
159
Category
Article
ISSN
0373-3114

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๐Ÿ“œ SIMILAR VOLUMES


EXPLORING THE FIELD OF PYTHAGOREAN NUMBE
โœ Lewis W. Colwell ๐Ÿ“‚ Article ๐Ÿ“… 1940 ๐Ÿ› School Science and Mathematics Association ๐ŸŒ English โš– 247 KB
The Number of Monochromatic Schur Triple
โœ Tomasz Schoen ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 127 KB

In this paper, we prove that in every 2-coloring of the set {1, . . . , N } = R โˆช B, one can find at least N 2 /22 + O(N ) monochromatic solutions of the equation x + y = z. This solves a problem of Graham et al. [1].