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- W2040781693 abstract "This paper obtains a result on the finiteness of the number of integer solutions to decomposable form inequalities. Let k be a number field and let F ( X 1 ,..., X m ) be a non-degenerate decomposable form with coefficients in k . We prove that, for every finite set of places S of k containing the archimedean places of k , for each real number λ < 1 m - 1 and for each constant c > 0 , the inequality (1) 0 < ∏ υ ∈ S ∥ F ( x 1 ,..., x m ) ∥ υ ⩽ cH S λ ( x 1 ,..., x m ) in ( x 1 ,..., x m ) ∈ O S m . has only finitely many O S * -non-proportional solutions." @default.
- W2040781693 created "2016-06-24" @default.
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- W2040781693 date "2005-11-01" @default.
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- W2040781693 title "Integer solutions to decomposable form inequalities" @default.
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- W2040781693 doi "https://doi.org/10.1016/j.jnt.2004.10.004" @default.
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