Theoretical Statistics and Mathematics Unit, ISI Delhi

July 11, 2018 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Takao Komatsu,
Wuhan University, China

Title:
Lehmer's Euler numbers with their generalizations and applications

Abstract of Talk

Lehmer's generalized Euler numbers $\{W_n\}$ are defined in 1935 by Lehmer by using cubic roots of unity, as a generalization of Euler numbers.

In 1875, Glaisher gave several interesting determinant expressions of Bernoulli, Cauchy and Euler numbers.

In this talk, Lehmer's generalized Euler numbers and its triplets siblings are presented to give certain congruence properties and their expression in terms of determinants.

The motivations and backgrounds of the definition are from number theory and graph theory.