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Sums and Differences of Two Cubic Polynomials

โœ Scribed by Trevor D. Wooley


Book ID
106198901
Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
106 KB
Volume
129
Category
Article
ISSN
0026-9255

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In this note we show that the apolar cubic forms associated to codimension 2 linear sections of canonical curves of genus g โ‰ฅ 11 are special with respect to their presentation as sums of cubes.

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In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < โˆž or -โˆž < t < โˆž , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x -1 n + x + 1 n and their factorizations.