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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Schneider–Lang theorem ： ウィキペディア英語版 Schneider–Lang theorem In mathematics, the Schneider–Lang theorem is a refinement by of a theorem of about the transcendence of values of meromorphic functions. The theorem implies both the Hermite–Lindemann and Gelfond–Schneider theorems, and implies the transcendence of some values of elliptic functions and elliptic modular functions. == Statement == The theorem deals with a number field ''K'' and meromorphic functions ''f''1, ..., ''f''''N'', at least two of which are algebraically independent of orders ρ1 and ρ2, and such that if we differentiate any of these functions then the result is a polynomial in ''f''1, ..., ''f''''N'' with coefficients in ''K''. Under these hypotheses the theorem states that if there are ''m'' distinct complex numbers ''ω''1, ..., ''ω''''m'' such that ''f''''i'' (ω''j'' ) is in ''K'' for all combinations of ''i'' and ''j'', then ''m'' is bounded by : $m\backslash leq\; (\backslash rho\_1+\backslash rho\_2)\; ().\; \backslash ,$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Schneider–Lang theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.