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Sautto-Vallejo, J.M., Agustín, S.-M., Carlos, B.-H. and Verónica, C.-G. (2013) Scholz’s Third Conjecture: A Demonstration for Star Addition Chains. Applied Mathematics, 4, 1-12.
http://dx.doi.org/10.4236/am.2013.410A1001

has been cited by the following article:

• TITLE: Scholz’s First Conjecture: A Brief Demonstration

  AUTHORS: José M. Sautto, Agustín Santiago, Carlos N. Bouza, Verónica Campos

  KEYWORDS: Addition Chain, Exponentiation, Short Chain, Scholz’s Conjecture, Binary Method

  JOURNAL NAME: Applied Mathematics, Vol.7 No.1, January 25, 2016

  ABSTRACT: This paper presents a brief demonstration of Schulz’s first conjecture, which sets the upper and lower limits on the length of the shortest chain of addition. Two methods of the upper limit are demonstrated; the second one is based on the algorithm of one of the most popular methods for obtaining addition chains of a number, known as the binary method.