Results 131 to 140 of about 2,597 (231)

Diophantine equation mX^2 - nY^2 = + - 1 [PDF]

, 2016
V prvem poglavju diplomskega dela zajamemo osnovne teorije verižnih ulomkov. Posebej opišemo končne, neskončne in periodične verižne ulomke. V drugem poglavju diplomskega dela obravnavamo Pellovo enačbo oz.
Vizjak, Mateja
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关于方程x²-1=yⁿ

四川大学学报. 自然科学版, 1962
Recently, Chao Koc 1 3' E2:i proved that the diophantine equationshave no integral solutions x,y with xy dpO..n this paper, I shall prove that the diophantine equation is impossible when p = 5, 7, 11, 13, 17, 19, 23, 29, 41, 43, 47,.> -r. 53, 61, 71, 79,
张世勋
doaj  

On the diophantine equation Fn + Fm = 2a [PDF]

, 2016
In this paper, we find all the solutions of the title Diophantine equation in positive integer variables (n, m, a), where Fk is the kth term of the Fibonacci sequence.
Luca, Florian, Bravo, Jhon J.
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Brocard's problem and variations [PDF]

, 2013
This thesis examines the work which has been done on Brocard’s problem which is to study solutions to n! + 1 = x², and related problems of the form n! = f(x) or n! = f(x, y), where f is a polynomial with integer coefficients.
Liu, Yi
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THE DIOPHANTINE EQUATION r² + r(x + y) = kxy [PDF]

, 1985
The Diophantine equation of the title is solved in ...
W R Utz
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The approximate functional equation of some Diophantine series. [PDF]

Mon Hefte Math, 2023
Chamizo F, Martin B.
europepmc   +1 more source

关于丢番都方程x^xy^y=z^z

四川大学学报. 自然科学版, 1958
柯召于“Note on the Diophantine equation xxyy=zz”（见Chinese Math.Journal1940）中证明了 ...
A.Schinzel
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On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]

Bol Soc Mat Mex, 2022
Ziegler V.
europepmc   +1 more source

Some solutions of diophantine equation x3+y3=pk z3 [PDF]

, 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.
See, Kok Leong
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On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source