English

Nonlinear differential equation for Korobov numbers

Number Theory 2016-04-18 v1

Abstract

In this paper, we present nonlinear differential equations for the generating functions for the Korobov numbers and for the Frobenuius-Euler numbers. As an application, we find an explicit expression for the nth derivative of 1/ log(1 + t).

Cite

@article{arxiv.1604.04328,
  title  = {Nonlinear differential equation for Korobov numbers},
  author = {Dae San Kim and Taekyun Kim and Hyuck In Kwon and Toufik Mansour},
  journal= {arXiv preprint arXiv:1604.04328},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T13:32:55.339Z