Wyniki wyszukiwania

1

A parametric family of sextic Thue equations

100%

Togbé A.

Acta Arithmetica

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2006

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tom 125

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nr 4

347-361

2

On the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$

63%

Luca F., Togbé A.

Colloquium Mathematicum

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2009

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tom 116

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nr 1

139-146

EN

We find all the solutions of the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$ in positive integers x,y,α,β,n ≥ 3 with x and y coprime.

3

On terms of linear recurrence sequences with only one distinct block of digits

63%

Marques D., Togbé A.

Colloquium Mathematicum

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2011

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tom 124

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nr 2

145-155

EN

In 2000, Florian Luca proved that F₁₀ = 55 and L₅ = 11 are the largest numbers with only one distinct digit in the Fibonacci and Lucas sequences, respectively. In this paper, we find terms of a linear recurrence sequence with only one block of digits in its expansion in base g ≥ 2. As an application, we generalize Luca's result by finding the Fibonacci and Lucas numbers with only one distinct block of digits of length up to 10 in its decimal expansion.

4

Simultaneous Pellian equations with a single or no solution

63%

Togbé A., He B.

Acta Arithmetica

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2008

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tom 134

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nr 4

369-380

Ograniczanie wyników

2 Acta Arithmetica

2 Colloquium Mathematicum

4 Togbé A.

1 He B.

1 Luca F.

1 Marques D.

1 2011

1 2009

1 2008

1 2006

A parametric family of sextic Thue equations

On the Diophantine equation $x² + 2^{α}13^{β} = yⁿ$

On terms of linear recurrence sequences with only one distinct block of digits

Simultaneous Pellian equations with a single or no solution