Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Examination the abc conjecture using some functions.

Version 1 : Received: 20 January 2022 / Approved: 1 February 2022 / Online: 1 February 2022 (21:29:47 CET)
Version 2 : Received: 6 May 2022 / Approved: 6 May 2022 / Online: 6 May 2022 (05:26:56 CEST)
Version 3 : Received: 13 May 2022 / Approved: 13 May 2022 / Online: 13 May 2022 (04:17:21 CEST)

How to cite: Fujino, S. Examination the abc conjecture using some functions.. Preprints 2022, 2022020021 (doi: 10.20944/preprints202202.0021.v1). Fujino, S. Examination the abc conjecture using some functions.. Preprints 2022, 2022020021 (doi: 10.20944/preprints202202.0021.v1).

Abstract

In this paper, we discuss the negative consequence of the weak abc conjecture. Namely, we derive that the weak abc conjecture is not true. Additionally, we show that the strong abc conjecture is not true.

Keywords

Number theory; Diophantine equation; abc conjecture

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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