Results 61 to 70 of about 1,510,077 (175)
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ramanujan J, 2021 Ddamulira M, Luca F.
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Exponential Diophantine equations [PDF]
Pacific Journal of Mathematics, 1982 Brenner, J. L., Foster, Lorraine L.
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On the exponential Diophantine equation $x^2+p^mq^n=2y^p$ [PDF]
, 2023 We study the exponential Diophantine equation $x^2+p^mq^n=2y^p$ in positive integers $x,y,m,n$, and odd primes $p$ and $q$ using primitive divisors of Lehmer sequences in combination with elementary number theory.
Chakraborty, Kalyan, Hoque, Azizul
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, 2010 In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. This brief discussion is useful for next discussion on the main topic.
Strnadová, Pavlína, Panda, Sagar
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Exponential sums and Diophantine problems.
, 1999 This work is concerned with the theory of exponential sums and their application to various Diophantine problems. Particular attention is given to exponential sums over smooth numbers, i.e. numbers having no large prime factors.
Parsell, Scott Thomas
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On the diophantine equation Px + Qy = z² [PDF]
Diophantine equation is a polynomial equation with two or more unknowns which integral solutions are required. An exponential Diophantine equation is an equation that has additional variable or variables occurring as exponents. This paper concentrates on
Japar, Izzati Izyani +2 more
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Computing all integer solutions of a genus 1 equation [PDF]
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
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Max–min of polynomials and exponential diophantine equations
Journal of Number Theory, 2010 In the first half of this paper, largely based on earlier work of \textit{R. Dvornicich, U. Zannier}, and the author [Acta Arith. 106, No. 2, 115--121 (2003; Zbl 1020.11018)], it is shown that for \(F \in {\mathbb Z}[x,y]\) one has \(\max_{x \in \mathbb Z \cap [-T,T]} \min_{y \in \mathbb Z} |F(x,y)| = o(T^{1/2})\) as \(T \to \infty\) if and only if ...
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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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