关于Nesterenko，Fischler和Zudilin线性无关性的判别准则
On the criteria for linear independence of Nesterenko, Fischler and Zudilin
摘要：
1985年，于。V. Nesterenko提出了一个线性独立性的标准，这是Siegel的一个变体。Siegel在完整的形式系统上使用上界，而Nesterenko在个体形式的足够密集的序列上使用上界和下界。Nesterenko判据的证明被F. Amoroso和P. Colmez在2003年。最近，S。Fischler和W.祖迪林提出了一个改进，连同一个更简单的证明。这个新的证明建立在一个简单的论证上，我们在这里加以扩展。我们得到了一个新的结果，它包含Nesterenko准则，以及代数独立性的准则。
英文摘要：
In 1985, Yu. V. Nesterenko produced a criterion for linear independence, which is a variant of Siegel's. While Siegel uses upper bounds on full systems of forms, Nesterenko uses upper and lower bounds on sufficiently dense sequences of individual forms. The proof of Nesterenko's criterion was simplified by F. Amoroso and P. Colmez in 2003. More recently, S. Fischler and W. Zudilin produced a refinement, together with a much simpler proof. This new proof rests on a simple argument which we expand here. We get a new result, which contains Nesterenko's criterion, as well as criteria for algebraic independence.
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