Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On the 3-adic Valuation of a Cubic Binomial Sum

Valentio Iverson

Abstract

In this short note, we prove a conjecture recently posed by Alekseyev, Amdeberhan, Shallit, and Vukusic on the 3-adic valuation of a cubic binomial sum.

On the 3-adic Valuation of a Cubic Binomial Sum

Abstract

In this short note, we prove a conjecture recently posed by Alekseyev, Amdeberhan, Shallit, and Vukusic on the 3-adic valuation of a cubic binomial sum.
Paper Structure (3 sections, 2 theorems, 7 equations)

This paper contains 3 sections, 2 theorems, 7 equations.

Table of Contents

  1. Introduction
  2. Proof of Theorem 1
  3. Acknowledgements

Key Result

Theorem 1

For every integer $n \ge 1$, we have

Theorems & Definitions (2)

  • Theorem 1
  • Theorem 2: MacMahon's Identity macmahon1902sums