Encoding Algebraic Power Series

Author:

Alonso M. E.,Castro-Jiménez F. J.,Hauser H.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Analysis

Reference56 articles.

1. Alonso, M.E., Castro-Jiménez, F.J., Hauser, H., Koutschan, C.: Gabrielov’s counterexample to nested linear Artin approximation. Preprint 2017.

2. Alonso, M.E., Mora, T., Raimondo, M.: A computational model for algebraic power series. J. Pure Appl. Alg. 77 (1992), 1-38.

3. Amasaki, M.: Applications of the generalized Weierstrass preparation theorem to the study of homogeneous ideals. Trans. Amer. Math. Soc. 317 (1990), 1-43.

4. Aroca, J.-M., Hironaka, H., Vicente, J.-L.: The theory of the maximal contact. Memorias Mat. Inst. Jorge Juan Madrid 29 (1975).

5. Artin, M.: Grothendieck topologies. Mimeographed notes, Harvard University 1962.

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1. Complementary decompositions of monomial ideals and involutive bases;Applicable Algebra in Engineering, Communication and Computing;2022-06-25

2. Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes;Transcendence in Algebra, Combinatorics, Geometry and Number Theory;2021

3. Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation;Bulletin of the London Mathematical Society;2018-05-18

4. The classical Artin approximation theorems;Bulletin of the American Mathematical Society;2017-06-13

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