TERS DENKLEMLERİN TAM SAYI ÇÖZÜMLERİ ÜZERİNE
ON FULL NUMBER SOLUTIONS OF INVERSE EQUATIONS

Summary/Abstract: In this study, x, y, z, ……, t being positive natural numbers; It has been tried to find solution sets of equations such that 1/x + 1/y + 1/z + ... ... ... + 1/t = b/a natural number a> 1 and 𝑏/𝑎 is a positive simple fraction. In the literature review on this subject, no study has been found to find the solution sets of an equation with many unknowns in this format. At a simple level, there are studies that find solution sets that provide equations with two unknowns and studies that provide solution sets for the result 𝑏/𝑎 = 1 . In this study, a method of finding unknowns in equations has been developed. Thanks to this method, when the number of unknowns in the equation is increased as much as desired, solution sets in integers can be found.

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