Quadratic Diophantine equation .

Özkoç, Arzu; Tekcan, Ahmet

Displaying similar documents to “Quadratic Diophantine equation $x^{2} - (t^{2} - t) y^{2} - (4 t - 2) x + (4 t^{2} - 4 t) y = 0$ .”

On the diophantine equation $x^{2 p} + y^{2 p} = z^{p}$

A. Rotkiewicz (1991)

Colloquium Mathematicae

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Fermat numbers in the Pascal triangle.

Luca, Florian (2001)

Divulgaciones Matemáticas

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Reduction of an arbitrary diophantine equation to one in 13 unknowns

Yuri Matijasevič, Julia Robinson (1975)

Acta Arithmetica

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On separation of eigenvalues by the permutation group

Grega Cigler, Marjan Jerman (2014)

Special Matrices

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Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues. The nilpotent complex n × n matrices A for which the products PA with all symmetric matrices P have a single spectrum are determined. It is shown that for a n × n complex matrix [...] there exists a permutation matrix P such that the product PA has at least two distinct eigenvalues.

Diophantine Undecidability of Holomorphy Rings of Function Fields of Characteristic 0

Laurent Moret-Bailly, Alexandra Shlapentokh (2009)

Annales de l’institut Fourier

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Let $K$ be a one-variable function field over a field of constants of characteristic 0. Let $R$ be a holomorphy subring of $K$ , not equal to $K$ . We prove the following undecidability results for $R$ : if $K$ is recursive, then Hilbert’s Tenth Problem is undecidable in $R$ . In general, there exist $x_{1}, ..., x_{n} \in R$ such that there is no algorithm to tell whether a polynomial equation with coefficients in $ℚ (x_{1}, ..., x_{n})$ has solutions in $R$ .

On simultaneous rational approximation to a real number and its integral powers

Yann Bugeaud (2010)

Annales de l’institut Fourier

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For a positive integer $n$ and a real number $ξ$ , let $λ_{n} (ξ)$ denote the supremum of the real numbers $λ$ such that there are arbitrarily large positive integers $q$ such that $| | q ξ | |, | | q ξ^{2} | |, ..., | | q ξ^{n} | |$ are all less than $q^{- λ}$ . Here, $| | \cdot | |$ denotes the distance to the nearest integer. We study the set of values taken by the function $λ_{n}$ and, more generally, we are concerned with the joint spectrum of $(λ_{1}, ..., λ_{n}, ...)$ . We further address several open problems.

Binomial coefficients.

Enochs, Edgar E. (2004)

Boletín de la Asociación Matemática Venezolana

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Ostrowski, Grüss, Čebyšev type inequalities for functions whose second derivatives belong to $L_{p} (a, b)$ and whose modulus of second derivatives are convex.

Rafiq, Arif, Ahmad, Farooq (2007)

Revista Colombiana de Matemáticas

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A note on the Diophantine equation $D_{1} x^{2} + D_{2} = a k^{n}$ .

Mollin, R.A. (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Displaying similar documents to “Quadratic Diophantine equation x 2 - ( t 2 - t ) y 2 - ( 4 t - 2 ) x + ( 4 t 2 - 4 t ) y = 0 .”

Displaying similar documents to “Quadratic Diophantine equation $x^{2} - (t^{2} - t) y^{2} - (4 t - 2) x + (4 t^{2} - 4 t) y = 0$ .”