Some conjectures in the theory of exponential diophantine equations (Q2707267)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some conjectures in the theory of exponential diophantine equations |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some conjectures in the theory of exponential diophantine equations |
scientific article |
Statements
1 April 2001
0 references
exponential diophantine equation
0 references
generalised abc conjecture
0 references
Nagell-Ljunggren equation
0 references
0.98230743
0 references
0.9584919
0 references
0 references
0.93897045
0 references
0.93888116
0 references
Some conjectures in the theory of exponential diophantine equations (English)
0 references
The author formulates a conjecture which implies Pillai's conjecture and a theorem of \textit{A. Schinzel} and \textit{R. Tijdeman} [Acta Arith. 31, 199-264 (1976; Zbl 0339.10018)] that for a polynomial with integer coefficients and at least two distinct roots, there are only finitely many perfect powers in its values at integral points. The author studies the relationship of generalised \(abc\) conjecture and his own conjecture. Some conjectures on the equation of Nagell-Ljunggren are formulated.
0 references
