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Counting algebraic integers of fixed degree and bounded height

✍ Scribed by Barroero, Fabrizio


Book ID
125349811
Publisher
Springer Vienna
Year
2013
Tongue
English
Weight
249 KB
Volume
175
Category
Article
ISSN
0026-9255

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[ACM Press the 2010 International Sympos
✍ Mayr, Ernst W.; Ritscher, Stephan πŸ“‚ Article πŸ“… 2010 πŸ› ACM Press βš– 748 KB

Let K[X] be a ring of multivariate polynomials with coefficients in a field K, and let f1, . . . , fs be polynomials with maximal total degree d which generate an ideal I of dimension r. Then, for every admissible ordering, the total degree of polynomials in a GrΓΆbner basis for I is bounded by . Th