# Seminars at SMU Delhi

## Forthcoming Seminar(s)

October 14, 2019, 3:30 PM at Seminar Room 2
Speaker: Alain Togbe, Perdue University Northwest USA
Title: On a conjecture concerning the multiplicity of the Tribonacci sequence
Abstract of Talk

The Tribonacci sequence $\left\{T_{k}\right\}_{k\in {\mathbb Z}}$ is defined by $T_0=0,~T_1=T_2=1$ and the recurrence $$T_{k+3}=T_{k+2}+T_{k+1}+T_k,$$ for all $k\in {\mathbb Z}$. Recently, Kuhapatanakul, Anantakitpaisal, Onsri and Na nhongkai made a conjecture concerning the positive integer solutions $(m,n)$ of the Diophantine equation $$T_{m}=T_{-n}.$$ In this talk, we confirm their conjecture.

(The talk is based on joint paper with Bravo, G\'omez, Kafle, and Lucas).

To schedule a seminar, please contact our seminar coordinator. Here is a list of currently scheduled seminars.

To receive seminar notices, please subscribe to the seminar mailing list. You can also subscribe by sending an email to smu-isid-seminar+subscribe@googlegroups.com.