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https://doi.org/10.3336/gm.53.1.04

On the Ramanujan-Nagell type Diophantine equation x2+Akn=B

Zhongfeng Zhang ; School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China
Alain Togbé orcid id orcid.org/0000-0002-5882-936X ; Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S. U.S. 421 Westville, IN 46391, USA


Puni tekst: engleski pdf 110 Kb

str. 43-50

preuzimanja: 732

citiraj


Sažetak

In this paper, we prove that the Ramanujan-Nagell type Diophantine equation x2+Akn=B has at most three nonnegative integer solutions (x,n) for A=1,2,4,k an odd prime and B a positive integer. Therefore, we partially confirm two conjectures of Ulas from [23].

Ključne riječi

Diophantine equation; Pell equations

Hrčak ID:

201810

URI

https://hrcak.srce.hr/201810

Datum izdavanja:

20.6.2018.

Posjeta: 1.310 *

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