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RATIONAL POINTS ON CUBIC HYPERSURFACES THAT SPLIT INTO FOUR FORMS
Author(s) -
Xue Boqing,
Zhao Lilu
Publication year - 2016
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579315000224
Subject(s) - mathematics , cubic form , pure mathematics , combinatorics
Let C ∈ Z [ x 1 , … , x n ] be a cubic form. Assume that C splits into four forms. Then C ( x 1 , … , x n ) = 0 has a non‐trivial integer solution provided that n ⩾ 10 .