Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/268223 
Year of Publication: 
2022
Series/Report no.: 
Hannover Economic Papers (HEP) No. 700
Publisher: 
Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät, Hannover
Abstract: 
Enrico Bombieri proved that the ABC Conjecture implies Roth's theorem in 1994. This paper concerns the other direction. In making use of Bombieri's and Van der Poorten's explicit formula for the coefficients of the regular continued fractions of algebraic numbers, we prove that Roth's theorem implies a weakened non-effective version of the ABC Conjecture in certain cases relating to roots.
JEL: 
C02
C60
Document Type: 
Working Paper

Files in This Item:
File
Size
200.8 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.