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Analytically irreducible polynomials with coefficients in a real-valued field
Authors:
A. Granja, M. C. Martínez and C. Rodríguez
Journal:
Proc. Amer. Math. Soc. 138 (2010), 3449-3454
MSC (2010):
Primary 13B25, 12E05; Secondary 13A05, 13F30
Posted:
April 13, 2010
MathSciNet review:
2661545
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Additional Information
Abstract: In this paper, we show a criterion of analytic irreducibility for polynomials with coefficients in a real-valued field. This generalizes previous criteria of Abhyankar as well as those of Granja.
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Additional Information
A. Granja
Affiliation:
Departamento de Matemáticas, Universidad de León, 24071-León, Spain
Email:
angel.granja@unileon.es
M. C. Martínez
Affiliation:
Departamento de Matemática Aplicada, Universidad de Valladolid, 47014-Valladolid, Spain
Email:
carmen@mat.uva.es
C. Rodríguez
Affiliation:
Departamento de Matemáticas, Universidad de León, 24071-León, Spain
Email:
mcrods@unileon.es
DOI:
http://dx.doi.org/10.1090/S0002-9939-10-10357-8
PII:
S 0002-9939(10)10357-8
Received by editor(s):
September 28, 2009
Received by editor(s) in revised form:
December 30, 2009
Posted:
April 13, 2010
Additional Notes:
This work was partially supported by MCI, MTM2009-11433 and JCYL, LE003A09.
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2010 American Mathematical Society
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