2014/03/19 by Thanatipanonda, Thotsaporn Aek
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1403.4962
Using the methodology of (rigorous) \it experimental mathematics, we give a simple and motivated solution to Zudilin's question concerning a q-analog 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 coefficients sums.