G. Soydan

activity

20102023

(x + 1)^{k} + (x + 2)^{k} + ... + (2 x)^{k} = y^{n}

13 citations · 50 across the 23 of their papers we have counts for

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math.NT2019★ 4 cited

The Diophantine Equation $(x + 1)^{k} + (x + 2)^{k} + \dots + (ℓ x)^{k} = y^{n}$ Revisited

Daniele Bartoli, Gökhan Soydan

Let $k, ℓ \geq 2$ be fixed integers and $C$ be an effectively computable constant depending only on $k$ and $ℓ$ . In this paper, we prove that all solutions of the equation $(x+1…

math.NT2019

Rational sequences on different models of elliptic curves

Gamze Savaş ÇELİK, Mohammad Sadek, Gökhan Soydan

Given a set $S$ of elements in a number field $k$ , we discuss the existence of planar algebraic curves over $k$ which possess rational points whose $x$ -coordinates are exactly the…

The Diophantine Equation (x+1)k+(x+2)k+⋯+(ℓx)k=yn Revisited

Rational sequences on different models of elliptic curves

The Diophantine Equation $(x + 1)^{k} + (x + 2)^{k} + \dots + (ℓ x)^{k} = y^{n}$ Revisited