On the integral solutions of the diophantine equation x4 + y4 = z3

QR Code

On the integral solutions of the diophantine equation x4 + y4 = z3

This paper is concerned with the existence, types and the cardinality of the integral solutions for diophantine equation x4y4z3+ = where x , y and z are integers. The aim of this paper was to develop methods to be used in finding all solutions to this equation. Results of the study show the existenc...

Full description

Bibliographic Details
Main Authors:	Ismail, S., Mohd Atan, Kamel Ariffin
Format:	Article
Language:	English English
Published:	Universiti Putra Malaysia 2013
Online Access:	http://psasir.upm.edu.my/id/eprint/30270/ http://psasir.upm.edu.my/id/eprint/30270/1/On%20the%20Integral%20Solutions%20of%20the%20Diophantine%20Equation%20x4%20%2B%20y4%20%3D%20z%C2%B34.pdf

Similar Items

Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
by: Ismail, Shahrina, et al.
Published: (2023)

On the diophantine equation x² + 4.7ᵇ = y²ʳ
by: Yow, Kai Siong, et al.
Published: (2013)

Some solutions of diophantine equation x3+y3=pk z3
by: See, Kok Leong
Published: (2011)

On the Diophantine Equation 5 x + p mn y = z 2
by: Bakar, H. S., et al.
Published: (2019)

On the Diophantine equation
by: Zahari, N. M., et al.
Published: (2012)

Solution of diophantine equation x⁴ + y⁴= pᵏz³ for primes 2 ≤ p ≤ 13.
by: Ismail, Shahrina
Published: (2011)

A method of finding an integral solution to x3 + y3 = kz4
by: Zahari, N. M., et al.
Published: (2010)

On the diophantine equation x²+2ª .zb= y³n
by: Amalul Hair, Nur Hidayah
Published: (2020)

On the diophantine equation Px + Qy = z²
by: Japar, Izzati Izyani, et al.
Published: (2024)

On the diophantine equation p ͯ +qᵐnᵞ = z²
by: Bakar, Halimatun Saadiah
Published: (2018)

On the diophantine equation x^2 + 5^a 47^b = y^n
by: Jamal, N. S., et al.
Published: (2023)

On The Solvability Of Some Diophantine Equations Of The Form ax+by = z2
by: Elshahed, Amr Moustafa Mohamed Aly Elsayed
Published: (2022)

The diophantine equation hard problem (DEHP) as an asymmetric primitive - is it possible?
by: Kamel Ariffin, Muhammad Rezal
Published: (2013)

Further results on the Diophantine equation x^2+16·7^b = y^n when n is even
by: Yow, Kai Siong, et al.
Published: (2024)

Bound on some Diophantine equation
by: Amalulhair, N. H., et al.
Published: (2022)

New simultaneous Diophantine attacks on generalized RSA key equations
by: Ruzai, Wan Nur Aqlili, et al.
Published: (2024)

On the exponential diophantine equations of degree three
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)

An efficient identification scheme in standard model based on the diophantine equation hard problem
by: Tea, Boon Chian, et al.
Published: (2013)

Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y]
by: Mohd Atan, Kamel Ariffin
Published: (1986)

On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases
by: Ahmed Balfaqih, Abdulrahman Hamed
Published: (2020)

A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations
by: Mohd Atan, Kamel Ariffin
Published: (1988)

Newton Polyhedral Method of Determining p-adic Orders of Zeros Common to Two Polynomials in Qp[x, y]
by: Mohd Atan, Kamel Ariffin
Published: (1986)

On the Estimate to Solutions of Congruence Equations Associated with a Cubic Form
by: Mohd Atan, Kamel Ariffin, et al.
Published: (1993)

On the estimation of cardinality of common solutions to congruence equation
by: Mohd Atan, Kamel Ariffin, et al.
Published: (2010)

On The Theory Of Diophantine Approximations.
by: Haili, Hailiza Kamarul, et al.
Published: (2005)

A new simultaneous diophantine attack upon RSA moduli N = pq
by: Abubakar, Saidu Isah, et al.
Published: (2018)

On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z]
by: Yong, Sup Kim, et al.
Published: (2018)

(4Z,6Z,12Z,14Z)-2,10-Dimethyl-2,8,10,16-tetrahydrodipyrazolo[3,4-e:3',4'-l][1,2,4,8,9,11]hexaazacyclotetradecine-4,12-diamine.
by: Dolzhenko, Anton, et al.
Published: (2009)

On the cardinality of the set of solutions to congruence equation associated with cubic form
by: Aminudin, S. S., et al.
Published: (2014)

Perbandingan penggunaan leksikal Tamil antara generasi X,Y dan Z
by: Moganasri Maninathan,, et al.
Published: (2022)

Integral Solution to the Equation x2+2a.7b=yn
by: Yow, Kai Siong
Published: (2011)

Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y')
by: Salama, Tahani Mohamed, et al.
Published: (2018)

Simultaneous pell equations x²-my² = 1 and y²-pz² = 1
by: Sihabudin, Nurul Amirah, et al.
Published: (2017)

On The Theory Of Diophantine Approximations And Continued Fractions Expansion.
by: Haili, Hailiza Kamarul, et al.
Published: (2005)

In-situ x-ray diffraction study of y-Mg(BH4)2 decomposition
by: Paskevicius, Mark, et al.
Published: (2012)

Explicit Integrator of Runge-Kutta Type for Direct Solution of u(4) = f (x, u, u', u'')
by: Ghawadri, Nizam, et al.
Published: (2019)

Explicit integrator of Runge-Kutta type for direct solution of u(4) = f(x, u, u', u'')
by: Ghawadri, Nizam Ghannam Fayez, et al.
Published: (2019)

Integral Backstepping Controller for an Underactuated X4-AUV
by: Zainah, Md. Zain, et al.
Published: (2016)

Supramolecular association in the triclinic (Z′ = 1) and monoclinic (Z′ = 4) polymorphs of 4-(4-acetylphenyl)piperazin-1-ium 2-amino4-nitrobenzoate
by: Jotani, Mukesh M., et al.
Published: (2019)

On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z]
by: Yong, Sup Kim, et al.
Published: (2020)