The Application of Elementary Number Theory in the Historical Chronology
LUO Jian-jin
Abstract：Based on some tools in elementary number theory, such as congruence, asymptotic fraction, the continued fraction Diophantine equation, etc., this paper analyzes some questions presented in archaeological chronology. Taking Dunhuang bamboo slips, Ju Yan bamboo slips of Han Dynasty, the book“Historical Records”, unearthed relics and historical data as evidence, and the records of “Calendar of Twenty Dynasties in China” and“Calendar in Three Thousand Five Hundred Years” as a database of sun and moon movements, this paper proves and discusses five cycles properties in Chinese calendar so as to clarify the basic principles and methods of the archaeological chronology of mathematics.
Keywords：Elementary number theorybamboo slips in Han DynastyChinese Historical Calendarthe cyclical theorems of Chinese calendararchaeological chronology
Publication Date：2015-11-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 28-37 )