Results 91 to 100 of about 3,530,646 (225)
All solutions of consecutive natural numbers sum equation and their closed forms
Al-JabarPurpose: This study aims to find a closed-form solution for all ordered pairs of natural numbers (?,?) satisfying the consecutive natural number sum equation 1 + 2 + ⋯ + ? sama dengan (? + 1) + (? + 2) + ⋯ + ?. This research contributes to number theory,
Sofihara Al Hazmy +3 more
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On the Diophantine equation x3=dy2±q6
International Journal of Mathematics and Mathematical Sciences, 2001 Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).
Fadwa S. Abu Muriefah
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Open Computer Science, 2017 Let Bn = {xi · xj = xk : i, j, k ∈ {1, . . . , n}} ∪ {xi + 1 = xk : i, k ∈ {1, . . . , n}} denote the system of equations in the variables x1, . . . , xn. For a positive integer n, let _(n) denote the smallest positive integer b such that for each system
Tyszka Apoloniusz
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A Survey on the ternary purely exponential diophantine equation ax + by = cz [PDF]
Surveys in Mathematics and its Applications, 2019 Let a, b, c be fixed coprime positive integers with min(a,b,c)>1. In this survey, we consider some unsolved problems and related works concerning the positive integer solutions (x,y,z) of the ternary purely exponential diophantine equation ax + by = cz.
Maohua Le, Reese Scott, Robert Styer
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Undecidable diophantine equations [PDF]
Bulletin of the American Mathematical Society, 1980 openaire +2 more sources
The approximate functional equation of some Diophantine series. [PDF]
Mon Hefte Math, 2023 Chamizo F, Martin B.
europepmc +1 more source
On the youthful writings of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$
Archive for History of Exact Sciences, 2019 S. Gauthier, François Lê
semanticscholar +1 more source
On the Diophantine Equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ Regarding Terai's Conjecture
Communications in Advanced Mathematical SciencesThis study establishes that the sole positive integer solution to the exponential Diophantine equation $(8r^2+1)^x+(r^2-1)^y=(3r)^z$ is $(x,y,z)=(1,1,2)$ for all $r>1$.
Murat Alan, Tuba Çokoksen
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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.
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Some results about negabent functions
Tongxin xuebao, 2011 By integer solutions of the quadratic diophantine equation,the indgement and construction of Negabent func-tions was studied.A condition for judging whether a function was Negabent and an indirect method of constructing Negabent functions were given.The ...
REN Chuan-lun1 +4 more
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