Article citationsMore>>

A. Scholtz, “Aufgaben und Losungen, 253,” Jahresbericht der Deutsche Mathematiker-Vereinigung, Vol. 47, 1937, pp. 41-42.

has been cited by the following article:

• TITLE: Scholz’s Third Conjecture: A Demonstration for Star Addition Chains

  AUTHORS: José Maclovio Sautto Vallejo, Agustín Santiago Moreno, Carlos N. Bouza Herrera, Verónica Campos Guzmán

  KEYWORDS: Addition Chain; Exponentiation; Short Chain; Scholz’s Conjecture

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10A, September 30, 2013

  ABSTRACT: This paper presents a brief demonstration of Scholz’s third conjecture [1] for n numbers such that their minimum chain addition is star type [2]. The demonstration is based on the proposal of an algorithm that takes as input the star-adding chain of a number n, and returns a string in addition to x = 2n - 1of length equal to l (n) + n - 1. As for any type addition chain star of a number n, this chain is minimal demonstrates the Scholz’s third Conjecture for such numbers.