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Fibonacci Numbers with a Prescribed Block of Digits
In this paper, we prove that F_{22} = 17711 is the largest Fibonacci number whose decimal expansion is of the form ab...bc...c. The proof uses lower bounds for linear forms in three logarithms of algebraic numbers ...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Cost of capital an the risk margin: logarithmic-linear model
Cost of capital an the risk margin: logarithmic-linear model.
BA - Obecná matematika
- 2008 •
- D
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D - Stať ve sborníku
Exponential Diophantine Equations
This paper is a very gentle introduction to solving exponential Diophantine equations using the technology of linear forms in logarithms of algebraic numbers....
Pure mathematics
- 2019 •
- C •
- Link
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C - Kapitola v odborné knize
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Models of price development on world market for cocoa beans
forms of the price model. The linear and logarithmic-linear categories of the price models were studied in this paper. Within the linear forms of the price models; the single linear cons...
GA - Zemědělská ekonomie
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Repdigits as sums of three Lucas numbers
All base 10 repdigits expressible as sums of three Lucas numbers are obtained.
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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An Equation Related to k-Generalized Fibonacci Numbers
)=(5,2,1), (5,3,1) and (6,3,2). For that, we shall use lower bounds for linear forms in logarithms together with a computational approach using Mathematica software....
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Repdigits as sums of three Pell numbers
In this paper, all base 10 repdigits expressible as sums of three Pell numbers are found.
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Repdigits as sums of four Pell numbers
In this paper, all base 10 repdigits expressible as sums of four Pell numbers are found.
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Lucas numbers as sums of two repdigits
In this paper, we determine all Lucas numbers that are sums of two repdigits. The largest one is L14 = 843 = 66 + 777.
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Oscillation criterion for linear equations with coefficients containing powers of natural logarithm
Applying an averaging technique for the adapted Prüfer angle, we obtain an oscillation criterion for linear second order differential equations whose coefficients consist of products of powers of natural logarithm and general (bound...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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