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 …
A method for finding numerical solutions to diophantine equations using spiral optimization algorithm with clustering (SOAC)
Diophantine equations are equations containing two or more unknowns, such that only the
integer solutions are required. To find solutions of these equations numerically, we can be …
integer solutions are required. To find solutions of these equations numerically, we can be …
An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
KM Abirami, N Veena, R Srikanth… - … of Mathematics and …, 2024 - Wiley Online Library
Every field in mathematics has made significant progress in research with fuzzy sets.
Numerous application fields were discovered in both empirical and theoretical …
Numerous application fields were discovered in both empirical and theoretical …
On the Solutions of the Diophantine Equation for Prime Pairs and
In this paper, we solve the Diophantine equation px+(p+ 4k) y= z2 in N0 for prime pairs (p,
p+ 4k). First, we consider cousin primes p and p+ 4. Then we extend the study to solving …
p+ 4k). First, we consider cousin primes p and p+ 4. Then we extend the study to solving …
On the Diophantine Equation
K Chakraborty, A Hoque, K Srinivas - Results in Mathematics, 2021 - Springer
Let c be a square-free positive integer and pa prime satisfying p\not ∣ cp∤ c. Let h (-c) h (-c)
denote the class number of the imaginary quadratic field Q (-c) Q (-c). In this paper, we …
denote the class number of the imaginary quadratic field Q (-c) Q (-c). In this paper, we …
[HTML][HTML] On the Diophantine equation NX2+ 2L3M= YN
EG Goedhart, HG Grundman - Journal of Number Theory, 2014 - Elsevier
We prove that the Diophantine equation NX 2+ 2 L 3 M= YN has no solutions (N, X, Y, L, M)
in positive integers with N> 1 and gcd (NX, Y)= 1, generalizing results of Luca, Wang and …
in positive integers with N> 1 and gcd (NX, Y)= 1, generalizing results of Luca, Wang and …
A note on the Diophantine equation px 2 + p 2n = y p
W Xiaoying, Z Han - Bulletin mathématique de la Société des Sciences …, 2017 - JSTOR
A note on the Diophantine equation px2 + p2n = yp Page 1 Bull. Math. Soc. Sei. Math.
Roumanie Tome 60 (108) No. 1, 2017, 51-57 A note on the Diophantine equation px2 + q2n …
Roumanie Tome 60 (108) No. 1, 2017, 51-57 A note on the Diophantine equation px2 + q2n …
ON THE INTEGRAL SOLUTIONS OF BINARY QUADRATIC DIOPHANTINE EQUATION ax²-bx= cy².
AH Ganesh, K Prabhakaran - South East Asian Journal of …, 2021 - search.ebscohost.com
In this paper, we show that the Diophantine equation ax²-bx= cy² in positive integers x, y, a,
b, c has infinitely many solutions where ac is not a square. We transform the above equation …
b, c has infinitely many solutions where ac is not a square. We transform the above equation …
[PDF][PDF] Ramy F. Taki ElDin Physics and Engineering Mathematics Department, Faculty of Engineering, Ain Shams University, Cairo, Egypt ramy. farouk@ eng. asu. edu …
AMATO DIOPHANTINE - INTEGERS, 2018 - researchgate.net
In this paper, experimental results for presenting the success rates in finding integral
solutions to the Diophantine equations of two variables using modular arithmetic are shown …
solutions to the Diophantine equations of two variables using modular arithmetic are shown …
The Nonexistence of Solutions to Certain Families of Diophantine Equations
EG Goedhart - 2015 - search.proquest.com
In this work, I examine specific families of Diophantine equations and prove that they have
no solutions in positive integers. The proofs use a combination of classical elementary …
no solutions in positive integers. The proofs use a combination of classical elementary …