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), Mingjia Yang (2018-2020), Yonah Biers-Ariel (2018-2020)

Current co-organizers:
Doron Zeilberger (doronzeil {at} gmail [dot] com)
Robert Dougherty-Bliss (robert {dot} w {dot} bliss {at} gmail [dot] com)

Future co-organizers (Fall 2024-):
Stoyan Dimitrov
Lucy Martinez

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 Robert Dougherty-Bliss (robert {dot} w {dot} bliss {at} gmail [dot] com)

Forthcoming Talks


Date: Thu., Feb. 29, 2024, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Jesús Guillera, University of Zaragoza

Title: Bilateral rational Ramanujan series and their p-adic mates

Abstract: We conjecture p-adic identities associated to bilateral rational Ramanujan-like series. Then, we show how to recover the rational Ramanujan series from their p-adic mates



Date: Thu., March 7, 2024, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: AJ Bu, Rutgers University

Title: Studying the Area under (Generalized) Dyck Paths

Abstract: I will be presenting my work (along with some joint work with Doron Zeilberger) on how to use symbolic computation to study the area under generalized Dyck paths (i.e. paths in the xy-plane from the origin to (n,0) with an arbitrary set of atomic steps and that never go below the x-axis).



Date: Thu., March 28, 2024, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Adam Zsolt Wagner, Worcester Polytechnic Institute.

Title: tbd

Abstract: tbd



Date: Thu., April 11, 2024, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Natasha Ter-Saakov, Rutgers University

Title: tbd

Abstract: tbd



Date: Thu., April 25, 2024, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Eugene Zima, Wilfrid Laurier University

Title: Effectively multiplication- and division-free residue number systems

Abstract: Several methods of selection of moduli in modular arithmetic are considered. With the proposed choice of moduli both modular reduction of an integer and reconstruction from modular images are accelerated. Special attention is paid to the moduli of the forms 2n ± 1 and 2n ± 2k ± 1. Different schemes of choice of these types of moduli and algorithms for conversion of arbitrary precision integers into the modular representation and back are considered. Results of experimental implementation of a two-layer modular arithmetic in GMP system are discussed.