An Efficient Version of the Bombieri-Vaaler Lemma

نویسندگان

  • Jun Zhang
  • Qi Cheng
چکیده

In their celebrated paper On Siegel’s Lemma, Bombieri and Vaaler found an upper bound on the height of integer solutions of systems of linear Diophantine equations. Calculating the bound directly, however, requires exponential time. In this paper, we present the bound in a different form that can be computed in polynomial time. We also give an elementary (and arguably simpler) proof for the bound.

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عنوان ژورنال:
  • CoRR

دوره abs/1707.05941  شماره 

صفحات  -

تاریخ انتشار 2017