Results 141 to 150 of about 839 (184)
Most totally real fields do not have universal forms or the Northcott property. [PDF]
Proc Natl Acad Sci U S ADaans N +4 more
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A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]
Ann Henri PoincareFranzoi L, Montalto R.
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Interplay of valley, layer and band topology towards interacting quantum phases in moiré bilayer graphene. [PDF]
Nat CommunJeong Y +6 more
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Research on Improved GPC of Pantograph Considering Actuator Time Delay and External Disturbance. [PDF]
Sensors (Basel)Wang Y, Wang Y, Chen X, Wang Y, Ma A.
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Manipulating the Generation of Photonic Moiré Lattices Using Plasmonic Metasurfaces. [PDF]
Nanomaterials (Basel)Mu Z +8 more
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Vietnam Journal of Mathematics, 2021
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Mathematical Notes, 2016
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Journal of the London Mathematical Society, 1971
In his book ''Diophantine equations'' [London etc.: Academic Press (1969; Zbl 0188.34503)] \textit{L. J. Mordell} asked for the complete solution in rational integers \(x\) and \(y\) of the indeterminate equation \[ (x + 1)(x^2 - x + 6) = 6y^2. \tag{1} \] In this paper it is proved that all solutions of (1) are given by \(x = -1, 0, 2, 7, 15, 74\) and \
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In his book ''Diophantine equations'' [London etc.: Academic Press (1969; Zbl 0188.34503)] \textit{L. J. Mordell} asked for the complete solution in rational integers \(x\) and \(y\) of the indeterminate equation \[ (x + 1)(x^2 - x + 6) = 6y^2. \tag{1} \] In this paper it is proved that all solutions of (1) are given by \(x = -1, 0, 2, 7, 15, 74\) and \
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A note on Erdős-Diophantine graphs and Diophantine carpets
20054 pages, 1 ...
Kohnert, Axel, Kurz, Sascha
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Combinatorica, 2020
For a polynomial \(P \in \mathbb{Z}[x_1, \ldots ,x_s]\), the equation \(P(x_1, \ldots ,x_s)=0\) is said to be regular if, in any partition \(\mathbb{N}= A_1 \cup \cdots \cup A_r\), there is a solution to this equation with non-identical \(x_1, \ldots ,x_s \in A_i\) for some \(1 \leq i \leq r\). Let \({p} \in \mathbb{Z}[y]\).
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For a polynomial \(P \in \mathbb{Z}[x_1, \ldots ,x_s]\), the equation \(P(x_1, \ldots ,x_s)=0\) is said to be regular if, in any partition \(\mathbb{N}= A_1 \cup \cdots \cup A_r\), there is a solution to this equation with non-identical \(x_1, \ldots ,x_s \in A_i\) for some \(1 \leq i \leq r\). Let \({p} \in \mathbb{Z}[y]\).
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