Salomon's Theorem for polynomials with several parameters

Maria Frontczak; Przemysław Skibiński; Stanisław Spodzieja

Colloquium Mathematicae (1999)

  • Volume: 80, Issue: 1, page 107-114
  • ISSN: 0010-1354

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Frontczak, Maria, Skibiński, Przemysław, and Spodzieja, Stanisław. "Salomon's Theorem for polynomials with several parameters." Colloquium Mathematicae 80.1 (1999): 107-114. <http://eudml.org/doc/210696>.

@article{Frontczak1999,
author = {Frontczak, Maria, Skibiński, Przemysław, Spodzieja, Stanisław},
journal = {Colloquium Mathematicae},
keywords = {conjugate polynomials; decomposition of polynomials; factorization of polynomials},
language = {eng},
number = {1},
pages = {107-114},
title = {Salomon's Theorem for polynomials with several parameters},
url = {http://eudml.org/doc/210696},
volume = {80},
year = {1999},
}

TY - JOUR
AU - Frontczak, Maria
AU - Skibiński, Przemysław
AU - Spodzieja, Stanisław
TI - Salomon's Theorem for polynomials with several parameters
JO - Colloquium Mathematicae
PY - 1999
VL - 80
IS - 1
SP - 107
EP - 114
LA - eng
KW - conjugate polynomials; decomposition of polynomials; factorization of polynomials
UR - http://eudml.org/doc/210696
ER -

References

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  1. [FS] M. Frontczak, P. Skibiński and S. Spodzieja, On factorization of polynomials with holomorphic coefficients, Bull. Polish Acad. Sci. Math. 46 (1998), 39-54. Zbl0904.12002
  2. [Kö] J. König, Einleitung in die allgemeine Theorie der algebraischen Größen, Teubner, Leipzig, 1903. Zbl34.0093.02
  3. [K] L. Kronecker, Zur Theorie der Formen höherer Stufen, Monatsber. Akad. Wiss. Berlin 37 (1883), 957-960; Werke 2, Chelsea, 1968, 417-424. Zbl14.0044.02
  4. [Kr] W. Krull, Über einen Irreduzibilitätssatz von Bertini, J. Reine Angew. Math. 177 (1937), 94-104. 
  5. [N] E. Noether, Ein algebraisches Kriterium für absolute Irreduzibilität, Math. Ann. 85 (1922), 26-33. Zbl48.0081.03
  6. [O] A. M. Ostrowski, On multiplication and factorization of polynomials. I. Lexicographic orderings and extreme aggregates of terms, Aequationes Math. 13 (1975), 201-228. Zbl0319.13004
  7. [R] A. Riehle, Über den Bertinischen Satz und seine Erweiterung, Diss. Tübingen, 1919. 
  8. [Sa] G. Salomon, Über das Zerfallen von Systemen von Polynomen, Jahresber. Deutsche Math.-Verein. 24 (1915), 225-246. Zbl45.0174.04
  9. [Sc] A. Schinzel, Selected Topics on Polynomials, The Univ. of Michigan Press, Ann Arbor, 1982. 

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