RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

sponsored by the

Rutgers University
Department of Mathematics

and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Founded 2003 by Drew Sills and Doron Zeilberger.

Former co-organizers: Drew Sills (2003-2007), Moa ApaGodu (2005-2006), Lara Pudwell (2006-2008), Andrew Baxter (2008-2011), Brian Nakamura (2011-2013), Edinah Gnang (2011-2013), Matthew Russell (2013-2016), Nathan Fox (2016-2017), Bryan Ek (2017-2018)

Current co-organizers:
Doron Zeilberger (doronzeil {at} gmail [dot] com)
Mingjia Yang (my237 {at} math [dot] rutgers [dot] edu)

Archive of Previous Speakers and Talks You can find links to videos of some of these talks as well. Currently, our videos are being posted to our Vimeo page. Previously, we had videos posted on our YouTube page.


If you would like to be added to the weekly mailing list, email Mingjia Yang (my237@math...).

Forthcoming Talks

Unless otherwise specified, seminars will be held in Hill 705 on the date indicated from 5:00 PM to 5:48 PM. Professor Zeilberger has promised to enforce the time limits.


Date: Sept. 27, 2018
Speaker: Yukun Yao, Rutgers University
Title: Parking Function, Bijection and Area Statistic
Abstract:
          In this talk, we will talk about the concepts and properties of parking functions, the bijection between parking functions and rooted labelled forests, and the area statistic of parking functions. With the experimental and finitistic method, the expectation, variance and higher moments of the area statistic of the parking functions can be derived. They can also be expressed as a polynomial of the expectation and the length n. Their limiting distribution will be discussed as well.


Date: Oct. 4, 2018
Speaker: Yan-Ping Mu, Tianjin University of Technology and Rutgers University
Title: Telescoping method and congruences for double summations
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.


Date: Oct. 11, 2018
Speaker: Akshunna Shaurya Dogra
Title: TBA
Abstract: TBA


Date: Oct. 18, 2018
Speaker: TBA


Date: Oct. 25, 2018
Speaker: Andrew Sills, Georgia Southern University
Title: TBA
Abstract: TBA


Date: Nov. 1, 2018
Speaker: TBA


Date: Nov. 8, 2018
Speaker: TBA


Date: Nov. 15, 2018
Speaker: TBA


Date: November 22, 2018
NO SEMINAR FOR THANKSGIVING


Date: November 26, 2018 5:45pm [Note Special Day and Time]
Speaker: Richard Voepel, Rutgers University
Title: TBA
Abstract: TBA


Date: Nov. 29, 2018
Speaker: TBA


Date: Dec. 6, 2018
Speaker: TBA