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Harmonic polynomials
and the divisibility problem


Author: V. V. Karachik
Journal: Proc. Amer. Math. Soc. 125 (1997), 3257-3258
MSC (1991): Primary 31A05; Secondary 11C08
DOI: https://doi.org/10.1090/S0002-9939-97-03963-4
MathSciNet review: 1403135
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Abstract: An easy way to construct a fist harmonic polynomial component of any polynomial is given.


References [Enhancements On Off] (What's this?)

  • 1. V. V. Karachik, O polinomialnyh reshenijah sistem linejnyh differenzialnyh uravnenij. Voprosi Vychislitelnoy i prikladnoy matematiki. v.82, Tashkent, 1987, s.41-48. MR 91f:34008
  • 2. E. M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton, New Jersey, Princeton University Press, 1971. MR 46:4102

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Additional Information

V. V. Karachik
Affiliation: Institute of Cybernetics of the Academy of Science of Uzbekistan, 34, F. Hodzhaev St., Tashkent, 700143, Uzbekistan
Email: karachik@uwed.freenet.uz

DOI: https://doi.org/10.1090/S0002-9939-97-03963-4
Keywords: Harmonic polynomials, divisibility
Received by editor(s): June 9, 1995
Received by editor(s) in revised form: May 9, 1996
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1997 American Mathematical Society

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