Beyond Zudilin%26apos;s conjectured q-analogue of Schmidt%26apos;s problem

作者:Thanatipanonda Thotsa**** ' Aek&apos*
来源:Journal of Difference Equations and Applications, 2014, 20(9): 1344-1349.
DOI:10.1080/10236198.2014.917635

摘要

Using the methodology of (rigorous) experimental mathematics, we give a simple and motivated solution to Zudilin%26apos;s question concerning a q-analogue of a problem posed by Asmus Schmidt about a certain binomial coefficients sum. Our method is based on two simple identities that can be automatically proved using the Zeilberger and q-Zeilberger algorithms. We further illustrate our method by proving two further binomial coefficient sums.

  • 出版日期2014

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