dimacs logo color

Events

Event Calendar

« Previous Month

August 2026

Next Month »
Sun Mon Tue Wed Thu Fri Sat
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

Seminar Details

Telescoping Method and Congruences for Double Summations

  • Start Date: October 4, 2018
  • Event Start Time: 5:00 PM
  • Event End Time: 6:00 PM
  • Seminar Series: Experimental Math Seminar
  • Presenter(s): Yan-Ping Mu - Rutgers University
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Presentation Type: Stand Alone Presentation
  • 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.