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Experimental Mathematics Seminar

Telescoping method and congruences for double summations 

Yan-Ping Mu, Tianjin University of Technology and Rutgers University 

Location:  Hill 705
Date & time: Thursday, 04 October 2018 at 5:00PM - 5:48PM

Abstract:    In recent years, Sun proposed several sophisticated conjectures on congruences for finite sums with terms involving combinatorial sequences such as central trinomial coefficients, Domb numbers and Franel numbers. These sums are double summations of hypergeometric terms. Using the telescoping method and certain mathematical software packages, we transform such a double summation into a single sum. With this new approach, we confirm several open conjectures of Sun. In this talk, I will mainly explain in detail the transformation. 

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