|
Search: id:A143109
|
|
|
| A143109 |
|
Let H(2,d) be the space of polynomials p(x,y) of two variables with nonnegative coefficients such that p(x,y)=1 whenever x+y=1. a_n is the number of different polynomials in H(2,d) with exactly n distinct monomials and of maximum degree minus two, i.e. of degree 2n-5. |
|
+0
3
|
| |
|
|
OFFSET
|
1,4
|
|
|
COMMENT
|
It is unknown but conjectured that this is a sequence of finite numbers. Note that if we went one degree lower and look at polynomials of degree 2n-6, then there are infinitely many if any exist in H(2,d).
|
|
REFERENCES
|
J. P. D'Angelo and J. Lebl. Complexity results for CR mappings between spheres. to appear in Internat. J. Math., preprint arXiv:0708.3232.
J. P. D'Angelo, Simon Kos and Emily Riehl. A sharp bound for the degree of proper monomial mappings between balls. J. Geom. Anal., 13(4):581-593, 2003.
J. Lebl and D. Lichtblau. Uniqueness of certain polynomials constant on a hyperplane. preprint
|
|
LINKS
|
J. P. D'Angelo and J. Lebl. Complexity results for CR mappings between spheres, to appear in Internat. J. Math.
|
|
MATHEMATICA
|
See the paper by Lebl-Lichtblau
|
|
CROSSREFS
|
Cf. A143107, A143108.
Sequence in context: A063146 A139276 A010002 this_sequence A007585 A024202 A133258
Adjacent sequences: A143106 A143107 A143108 this_sequence A143110 A143111 A143112
|
|
KEYWORD
|
hard,nonn
|
|
AUTHOR
|
Jiri Lebl (jlebl(AT)math.uiuc.edu), Jul 25 2008
|
|
|
Search completed in 0.002 seconds
|
