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- W207596044 abstract "Siegel’s Lemma in its original form guarantees the existence of a small non-trivial integral solution of a system of linear equations with rational integer coefficients and with more variables than equations. It reads as follows: 1 Lemma. (C.L. Siegel) Let A = (a ij ) be an N × M matrix with rational integer coefficients. Put a = max i,j |a ij |. Tien, if N < M, the equation Ax = 0 has a solution x ∈ ℤ M , x≠0, with $$ left| x right| leqslant (Ma)^{N/(M - N)} $$ where ‖ ‖ denotes the max-norm: ‖x‖=‖(x1,...,x M ‖=max1≤i≤M|x i | in ℝ M ." @default.
- W207596044 created "2016-06-24" @default.
- W207596044 creator A5019530617 @default.
- W207596044 date "2009-02-04" @default.
- W207596044 modified "2023-09-27" @default.
- W207596044 title "Faltings’s Version of Siegel’s Lemma" @default.
- W207596044 doi "https://doi.org/10.1007/978-3-540-48208-6_10" @default.
- W207596044 hasPublicationYear "2009" @default.
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