Solution of diophantine equation x⁴ + y⁴= pᵏz³ for primes 2 ≤ p ≤ 13.
he purpose of this study is to determine the existence, types and the cardinality of the solutions for the diophantine equation x⁴ + y⁴=z³ and x⁴ + y⁴=pᵏz³ for p a prime, 2≤ p≤13 and k∈Z+in the rings of integers Z and Gaussian integers Z(i). Another aim of this study was to develop methods of findin...
| Main Author: | Ismail, Shahrina |
|---|---|
| Format: | Thesis |
| Language: | English English |
| Published: |
2011
|
| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/27391/ http://psasir.upm.edu.my/id/eprint/27391/1/IPM%202011%2010R.pdf |
Similar Items
On the diophantine equation x²+2ª .zb= y³n
by: Amalul Hair, Nur Hidayah
Published: (2020)
by: Amalul Hair, Nur Hidayah
Published: (2020)
Some solutions of diophantine equation x3+y3=pk z3
by: See, Kok Leong
Published: (2011)
by: See, Kok Leong
Published: (2011)
On the diophantine equation p ͯ +qᵐnᵞ = z²
by: Bakar, Halimatun Saadiah
Published: (2018)
by: Bakar, Halimatun Saadiah
Published: (2018)
Kaedah Penyelesaian Integer kepada Persamaan Diofantus x³ⁿ + y³ⁿ = kz²ⁿ
by: Zahari, Nor Mazlin
Published: (2011)
by: Zahari, Nor Mazlin
Published: (2011)
Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
by: Ismail, Shahrina, et al.
Published: (2023)
by: Ismail, Shahrina, et al.
Published: (2023)
Efficient identification scheme in standard model based on bivariate function hard problem
by: Tea, Boon Chian
Published: (2014)
by: Tea, Boon Chian
Published: (2014)
On the Diophantine Equation 5 x + p mn y = z 2
by: Bakar, H. S., et al.
Published: (2019)
by: Bakar, H. S., et al.
Published: (2019)
On the integral solutions of the diophantine equation x4 + y4 = z3
by: Ismail, S., et al.
Published: (2013)
by: Ismail, S., et al.
Published: (2013)
On the diophantine equation x² + 4.7ᵇ = y²ʳ
by: Yow, Kai Siong, et al.
Published: (2013)
by: Yow, Kai Siong, et al.
Published: (2013)
On the diophantine equation x^2 + 5^a 47^b = y^n
by: Jamal, N. S., et al.
Published: (2023)
by: Jamal, N. S., et al.
Published: (2023)
Integral Solution to the Equation x2+2a.7b=yn
by: Yow, Kai Siong
Published: (2011)
by: Yow, Kai Siong
Published: (2011)
On the Diophantine equation
by: Zahari, N. M., et al.
Published: (2012)
by: Zahari, N. M., et al.
Published: (2012)
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)
by: Yow, Kai Siong, et al.
Published: (2024)
On the estimation of cardinality of common solutions to congruence equation
by: Mohd Atan, Kamel Ariffin, et al.
Published: (2010)
by: Mohd Atan, Kamel Ariffin, et al.
Published: (2010)
Bound on some Diophantine equation
by: Amalulhair, N. H., et al.
Published: (2022)
by: Amalulhair, N. H., et al.
Published: (2022)
Approximate Solution of the System of Nonlinear Integral Equations
by: Hazaimeh, Oday Shafiq
Published: (2010)
by: Hazaimeh, Oday Shafiq
Published: (2010)
On the exponential diophantine equations of degree three
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)
On the diophantine equation Px + Qy = z²
by: Japar, Izzati Izyani, et al.
Published: (2024)
by: Japar, Izzati Izyani, et al.
Published: (2024)
The discrete-time generalized algebraic Riccati equation: Order reduction and solutions’ structure
by: Ntogramatzidis, Lorenzo, et al.
Published: (2015)
by: Ntogramatzidis, Lorenzo, et al.
Published: (2015)
Classification of second order partial differential equation using maple and comparison for the solutions
by: Algabishi, Ghadeer Omar S
Published: (2015)
by: Algabishi, Ghadeer Omar S
Published: (2015)
On The Solvability Of Some
Diophantine Equations Of The Form
ax+by = z2
by: Elshahed, Amr Moustafa Mohamed Aly Elsayed
Published: (2022)
by: Elshahed, Amr Moustafa Mohamed Aly Elsayed
Published: (2022)
Existences and uniqueness of solutions for some classes of iterative fractional functional integral and differential equations
by: Damag, Faten Hasan Mohammed
Published: (2017)
by: Damag, Faten Hasan Mohammed
Published: (2017)
Semi-bounded solutions of singular integral equations of Cauchy type
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)
by: Nik Long, Nik Mohd Asri, et al.
Published: (2009)
Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
by: Khoo, Kai Wen
Published: (2015)
by: Khoo, Kai Wen
Published: (2015)
A new approach to generate all Pythagorean triples
by: Overmars, A., et al.
Published: (2019)
by: Overmars, A., et al.
Published: (2019)
On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases
by: Ahmed Balfaqih, Abdulrahman Hamed
Published: (2020)
by: Ahmed Balfaqih, Abdulrahman Hamed
Published: (2020)
Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)
by: Abasi, Naghmeh
Published: (2014)
Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
by: Mohd Nasir, Diana Sirmayunie
Published: (2010)
by: Mohd Nasir, Diana Sirmayunie
Published: (2010)
Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
by: Ismail, Fudziah, et al.
Published: (2005)
by: Ismail, Fudziah, et al.
Published: (2005)
Multistep block methods for solving volterra integro-differential equations of second kind
by: Mohamed, Nurul Atikah
Published: (2016)
by: Mohamed, Nurul Atikah
Published: (2016)
Partitioning ordinary differential equations using multistep formulas.
by: Suleiman, Mohamed, et al.
Published: (2008)
by: Suleiman, Mohamed, et al.
Published: (2008)
Weighted in time energy estimates for parabolic equations with applications to non-linear and non-local problems
by: Dokuchaev, Nikolai
Published: (2012)
by: Dokuchaev, Nikolai
Published: (2012)
Groebner-basis solution of the three-dimensionalresection problem (P4P)
by: Awange, Joseph, et al.
Published: (2003)
by: Awange, Joseph, et al.
Published: (2003)
Block Multistep Methods for Solving Ordinary Differential Equations
by: Ibrahim, Zarina Bibi
Published: (2006)
by: Ibrahim, Zarina Bibi
Published: (2006)
Numerical solution of integrals and nonlinear integral equations by wavelets
by: Abdul Sathar, Mohammad Hasan
Published: (2016)
by: Abdul Sathar, Mohammad Hasan
Published: (2016)
Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
by: Yap, Lee Ken
Published: (2008)
by: Yap, Lee Ken
Published: (2008)
The determination of solutions of linear differential equations with entire coefficients from their zeros
by: Asiri, Asim Mohammad Khalid
Published: (2012)
by: Asiri, Asim Mohammad Khalid
Published: (2012)
General linear methods for solving ordinary and fuzzy differential equations
by: Abd Hamid, Fatin Nadiah
Published: (2017)
by: Abd Hamid, Fatin Nadiah
Published: (2017)
One-step block methods for solving ordinary and delay differential equations
by: Mohd Radzi, Hazwani
Published: (2011)
by: Mohd Radzi, Hazwani
Published: (2011)
The diophantine equation hard problem (DEHP) as an asymmetric primitive - is it possible?
by: Kamel Ariffin, Muhammad Rezal
Published: (2013)
by: Kamel Ariffin, Muhammad Rezal
Published: (2013)
Similar Items
-
On the diophantine equation x²+2ª .zb= y³n
by: Amalul Hair, Nur Hidayah
Published: (2020) -
Some solutions of diophantine equation x3+y3=pk z3
by: See, Kok Leong
Published: (2011) -
On the diophantine equation p ͯ +qᵐnᵞ = z²
by: Bakar, Halimatun Saadiah
Published: (2018) -
Kaedah Penyelesaian Integer kepada Persamaan Diofantus x³ⁿ + y³ⁿ = kz²ⁿ
by: Zahari, Nor Mazlin
Published: (2011) -
Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
by: Ismail, Shahrina, et al.
Published: (2023)