3 papers
math.GM2020
Sylvester's Conjecture and the Egyptian Fractions
Keneth Adrian Dagal
This paper attempts to prove the Sylvester's conjecture using Egyptian Fractions with two key ingredients. First, creating a set of operators that completely generates all possible…
math.GM2020
Bounds for the Number of Terms of Harmonic Sums
Keneth Adrian Dagal
This paper provides bounds for the number of terms, denoted by , of a harmonic sum with the condition that it starts from any arbitrary unit fraction , , unt…
math.HO2020
A New Operator for Egyptian Fractions
Keneth Adrian Dagal
This paper introduces a new equation for rewriting two unit fractions to another two unit fractions. This equation is useful for optimizing the elements of an Egyptian Fraction. Pa…