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Harmonic polynomials and the divisibility problem
Author(s):
V.
V.
Karachik
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3257-3258.
MSC (1991):
Primary 31A05;
Secondary 11C08
MathSciNet review:
1403135
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Abstract |
References |
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Additional information
Abstract:
An easy way to construct a fist harmonic polynomial component of any polynomial is given.
References:
- 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:
10.1090/S0002-9939-97-03963-4
PII:
S 0002-9939(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
Copyright of article:
Copyright
1997,
American Mathematical Society
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