A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation
M Le, G Soydan - arXiv preprint arXiv:2001.09617, 2020 - arxiv.org
arXiv:2001.09617v1 [math.NT] 27 Jan 2020 Page 1 arXiv:2001.09617v1 [math.NT] 27 Jan
2020 A BRIEF SURVEY ON THE GENERALIZED LEBESGUE-RAMANUJAN-NAGELL …
2020 A BRIEF SURVEY ON THE GENERALIZED LEBESGUE-RAMANUJAN-NAGELL …
On an diophantine equation
F Luca - Bulletin of the Australian Mathematical Society, 2000 - cambridge.org
On an diophantine equation Page 1 BULL. AUSTRAL. MATH. SOC. VOL. 61 (2000) [241-246]
11A63, 11B39, 11D61 ON A DIOPHANTINE EQUATION FLORIAN LUCA In this note, we find …
11A63, 11B39, 11D61 ON A DIOPHANTINE EQUATION FLORIAN LUCA In this note, we find …
The diophantine equation ( a n -1)( b n -1)= x 2
J Cohn - Periodica Mathematica Hungarica, 2002 - akjournals.com
The diophantine equation (<Emphasis Type="Italic">a</Emphasis> <Superscript>n</Superscript>-1)
Page 1 Periodica Mathematica Hungarica Vol. 44 (2), 2002, pp. 169–175 THE DIOPHANTINE …
Page 1 Periodica Mathematica Hungarica Vol. 44 (2), 2002, pp. 169–175 THE DIOPHANTINE …
[PDF][PDF] On two classes of exponential Diophantine equations
PB Borah, M Dutta - Communications in Mathematics and …, 2022 - researchgate.net
In this paper, we study on the exponential Diophantine equations: nx+ 24y= z2, for n≡ 5 or 7
(mod 8). We show that 5x+ 24y= z2 has a unique positive integral solution (2, 1, 7). Further …
(mod 8). We show that 5x+ 24y= z2 has a unique positive integral solution (2, 1, 7). Further …
The product of like-indexed terms in binary recurrences
F Luca, PG Walsh - Journal of Number Theory, 2002 - Elsevier
In recent work by Hajdu and Szalay, Diophantine equations of the form (ak− 1)(bk− 1)= x2
were completely solved for a few pairs (a, b). In this paper, a general finiteness theorem for …
were completely solved for a few pairs (a, b). In this paper, a general finiteness theorem for …
[PDF][PDF] On the exponential Diophantine equation (an− 1)(bn− 1)= x2
L Lan, L Szalay - Publ. Math. Debrecen, 2010 - researchgate.net
Let a and b be fixed positive integers such that a= b and min (a, b)> 1. In this paper, we
combine some divisibility properties of the solutions of Pell equations with elementary …
combine some divisibility properties of the solutions of Pell equations with elementary …
[PDF][PDF] On the Diophantine equation (an− 1)(bn− 1)= x2
P Yuan, Z Zhang - Publ. Math. Debrecen, 2012 - researchgate.net
On the diophantine equation (an − 1)(bn − 1) = x2 Page 1 Publ. Math. Debrecen 80/3-4 (2012),
327–331 DOI: 10.5486/PMD.2012.5004 On the diophantine equation (an − 1)(bn − 1) = x2 By …
327–331 DOI: 10.5486/PMD.2012.5004 On the diophantine equation (an − 1)(bn − 1) = x2 By …
On the Exponential Diophantine Equation
A Noubissie, A Togbé, Z Zhang - Bulletin of the Belgian …, 2020 - projecteuclid.org
Let $ a $ and $ b $ be two distinct fixed positive integers such that $\min\{a, b\}> 1. $ First, we
correct an oversight from [12]. Then, we show that the equation in the title with $ b\equiv …
correct an oversight from [12]. Then, we show that the equation in the title with $ b\equiv …
[PDF][PDF] On the exponential Diophantine equation (an− 1)(bn− 1)= x2
K Ishii - Publ. Math. Debrecen, 2016 - scholar.archive.org
On the exponential Diophantine equation (an − 1)(bn − 1) = x Page 1 Publ. Math. Debrecen
89/1-2 (2016), 253–256 DOI: 10.5486/PMD.2016.7578 On the exponential Diophantine …
89/1-2 (2016), 253–256 DOI: 10.5486/PMD.2016.7578 On the exponential Diophantine …
[PDF][PDF] Diophantine properties of linear recursive sequences II.
A Pethő - Acta Mathematica Academiae Paedagogicae …, 2001 - real.mtak.hu
Let Gn be a linear recursive sequence of integers and P (y) be a polynomial with integer
coefficients. In this paper we are given a survey on results on the solutions of diophantine …
coefficients. In this paper we are given a survey on results on the solutions of diophantine …