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On the zeros of certain polynomials
Author(s):
Fernando
Rodriguez-Villegas
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2251-2254.
MSC (2000):
Primary 12D10, 13D40
Posted:
February 8, 2002
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Abstract:
We prove that certain naturally arising polynomials have all of their roots on a vertical line.
References:
-
- [BChKV]
- D. Bump, K. Choi, P. Kulberg, and J. Vaaler, A local Riemann hypothesis, I, Math. Zeit. 233 (2000), 1-19. MR 2001g:11073a
- [HZ]
- J. Harer and D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986), 457-485. MR 87i:32031
- [PS]
- G. Pólya and G. Szegö, Problems and Theorems in Analysis II, Springer-Verlag, Berlin, Heidelberg, 1976. MR 53:2
- [PS1]
- A. Postnikov and R. Stanley, Deformations of Coxeter Hyperplane Arrangements, J. Combin. Theory Ser. A 91 (2000), 544-597. CMP 2001:01
- [O]
- N. Obreschkov, Lösung der Aufgabe 35, Section 2, Jahresber. Deutsch. Math. Verein. 36 (1917), 43-45.
- [St]
- R. Stanley, Hilbert Functions of Graded Algebras, Adv. in Math. 28 (1978), 57-83. MR 58:5637
- [St1]
- R. Stanley, Combinatorics and Commutative Algebra, Birkhäuser, Boston, 1983. MR 85b:05002
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Additional Information:
Fernando
Rodriguez-Villegas
Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
Email:
villegas@math.utexas.edu
DOI:
10.1090/S0002-9939-02-06454-7
PII:
S 0002-9939(02)06454-7
Keywords:
Polynomials,
roots,
Hilbert functions
Received by editor(s):
March 16, 2001
Posted:
February 8, 2002
Additional Notes:
Support for this work was provided in part by grants from NSF and TARP
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2002,
American Mathematical Society
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