Every ternary quintic is a sum of ten fifth powers
2015 ◽
Vol 25
(04)
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pp. 607-631
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Keyword(s):
To our knowledge at the time of writing, the maximum Waring rank for the set of all ternary forms of degree d (with coefficients in an algebraically closed field of characteristic zero) is known only for d ≤ 4, and the best upper bound that is known for d = 5 is 12. In this work, we lower the upper bound to 10 (and there are evidences that it is likely sharp).
1968 ◽
Vol 9
(2)
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pp. 146-151
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1991 ◽
Vol 122
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pp. 161-179
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2012 ◽
Vol 55
(1)
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pp. 208-213
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2004 ◽
Vol 77
(1)
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pp. 123-128
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1987 ◽
Vol 107
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pp. 147-157
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2006 ◽
Vol 74
(01)
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pp. 41-58
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2010 ◽
Vol 09
(01)
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pp. 11-15
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Keyword(s):
1994 ◽
Vol 37
(3)
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pp. 374-383
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Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 271-284
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Keyword(s):
2014 ◽
Vol 14
(02)
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pp. 1550011
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Keyword(s):