Results 61 to 70 of about 312 (174)
On some exponential diophantine equations
, 2019 Anadolu Üniversitesi ve Bilecik Şeyh Edebali Üniversitesi tarafından ortak yürütülen program.Üç bölümden oluşan bu çalışmada sayılar teorisinin insanlık tarihi kadar eski sayılabilecek problemlerinden birisi olan Diophantine denklemlerinin özel bir ...
Akkuş, Seda Nur
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A circle method approach to K‐multimagic squares
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract In this paper, we investigate K$K$‐multimagic squares of order N$N$. These are N×N$N \times N$ magic squares that remain magic after raising each element to the k$k$th power for all 2⩽k⩽K$2 \leqslant k \leqslant K$. Given K⩾2$K \geqslant 2$, we consider the problem of establishing the smallest integer N2(K)$N_2(K)$ for which there exist ...
Daniel Flores
wiley +1 more source
Exponential Diophantine equations
, 2006 Kroz mnoštvo ilustrativnih primjera opisani su različiti pristupi za rješavanje eksponencijalnih diofantskih jednadžbi. Zadaci su prilagođeni učenicima srednje škole.Various approaches to solving exponential diophantine equations are described by a wide ...
Ilišević, I., I. Ilišević
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Ternary Diophantine Equations via Galois Representations and Modular Forms
, 2004 In this paper, we develop techniques for solving ternary Diophantine equations of the shape Axn + Byn = Cz2, based upon the theory of Galois representations and modular forms.
Michael A. Bennett, Chris M. Skinner
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Exponential Diophantine equations [PDF]
Pacific Journal of Mathematics, 1982 Brenner, J. L., Foster, Lorraine L.
openaire +3 more sources
Powers in the Lucas sequence when the index is divisible by three
, 2011 In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier +1 more
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Diophantine equations and cyclotomic fields
, 2015 This thesis examines some approaches to address Diophantine equations, specifically we focus on the connection between the Diophantine analysis and the theory of cyclotomic fields.First, we propose a quick introduction to the methods of Diophantine ...
Bartolomé, Boris
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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
Exponential diophantine equations with four terms
Indagationes Mathematicae, 1992 This article gives some examples how to make exponential diophantine equations more practical. The authors take the large exponential bounds for solutions given by Baker's method to computational available bounds. Let \(p\) and \(q\) be distinct primes less than 200. The main theorems are: (1) Every solution of the equation \(p^ x q^ y\pm p^ z \pm q^ w
Deze, Mo, Tijdeman, R.
openaire +2 more sources
On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases [PDF]
, 2020 In 1956, Jes´manowicz conjectured that for any primitive Pythagorean triple (a, b, c) with the Diophantine equation a2 + b2 = c2 and any positive integer k, the only solution of equation (ak)x +(bk)y = (ck)z, in positive integers, is (x, y, z) = (2, 2, 2)
Ahmed Balfaqih, Abdulrahman Hamed
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