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On the Diophantine equation
Published 2012“…This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for n ≥ 2 and it is found that the integral solution of these equation are of the form a = b = t2, c = t3 for any integers t.…”
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Bound on some Diophantine equation
Published 2022“…Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. …”
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On the exponential diophantine equations of degree three
Published 2019“…Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. …”
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On the diophantine equation p ͯ +qᵐnᵞ = z²
Published 2018Subjects: “…Diophantine equations…”
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5
On the diophantine equation x² + 4.7ᵇ = y²ʳ
Published 2013“…This paper investigates and determines the solutions for the Diophantine equation x²+ 4.7ᵇ= y²ͬ, where x, y, bare all positive intergers and r> 1. …”
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The diophantine equation hard problem (DEHP) as an asymmetric primitive - is it possible?
Published 2013“…We put forward a probable hard problem based on a Diophantine equation that has characteristics to become an asymmetric primitive. …”
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On the diophantine equation x²+2ª .zb= y³n
Published 2020Subjects: “…Diophantine equations…”
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8
Solution of diophantine equation x⁴ + y⁴= pᵏz³ for primes 2 ≤ p ≤ 13.
Published 2011Subjects: “…Diophantine equations…”
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On the Diophantine Equation 5 x + p mn y = z 2
Published 2019“…Diophantine equation is a polynomial equation with two or more unknowns for which only integral solutions are sought. …”
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Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
Published 2023“…The investigation of determining solutions for the Diophantine equation over the Gaussian integer ring for the specific case of is discussed. …”
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On the diophantine equation x^2 + 5^a 47^b = y^n
Published 2023“…Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. …”
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An efficient identification scheme in standard model based on the diophantine equation hard problem
Published 2013“…Recently the Diophantine Equation Hard Problem (DEHP) was proposed. It is utilized to design a standard identification scheme model. …”
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On the integral solutions of the diophantine equation x4 + y4 = z3
Published 2013“…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. …”
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Some solutions of diophantine equation x3+y3=pk z3
Published 2011“…Diophantine equation is an algebraic equation in two or more variables in which solutions to it are from some predetermined classes and it is one of the oldest branches of number theory. …”
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Efficient identification scheme in standard model based on bivariate function hard problem
Published 2014Subjects: Get full text
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Kaedah Penyelesaian Integer kepada Persamaan Diofantus x³ⁿ + y³ⁿ = kz²ⁿ
Published 2011Subjects: “…Diophantine equations…”
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Simultaneous pell equations x²-my² = 1 and y²-pz² = 1
Published 2017“…Pell equation is a special type of Diophantine equations of the form x²−my²= 1, where m is a positive non-square integer. …”
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Simultaneous Pell equations x2 - my2 = 1 and y2 - pz2 = 1
Published 2017“…Pell equation is a special type of Diophantine equations of the form x2 − my2 = 1, where m is a positive non-square integer. …”
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Integral Solution to the Equation x2+2a.7b=yn
Published 2011“…There are many types of diophantine equations, for instance linear diophantine equation, exponential diophantine equation and others. …”
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An identification scheme based on bivariate function hard problem
Published 2014“…Recently, an identification scheme based on Diophantine Equation Hard Problem is proposed. The scheme was proven secure against impersonation under passive attack, assuming that solving Diophantine Equation Hard Problem is hard. …”
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