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Nonlinear Landau Fan Diagram for Graphene Electrons Exposed to a Moiré Potential. [PDF]
Nano LettMoon P +5 more
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Extended fractional Hofstadter states at high field in twisted bilayer graphene above the magic angle. [PDF]
Proc Natl Acad Sci U S AFinney J +9 more
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Universality in the 2d Quasi-periodic Ising Model and Harris-Luck Irrelevance. [PDF]
Commun Math PhysGallone M, Mastropietro V.
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Diophantine Approximations and Diophantine Equations
Lecture Notes in Mathematics, 1991Wolfgang M. Schmidt
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Vietnam Journal of Mathematics, 2021
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Mathematical Notes, 2016
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A note on Erdős-Diophantine graphs and Diophantine carpets
20054 pages, 1 ...
Kohnert, Axel, Kurz, Sascha
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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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Combinatorial Diophantine equations
Publicationes Mathematicae Debrecen, 2000For a positive integer \(k\) let \(P_k(x)=x(x+1)\ldots (x+k-1)\) and \(S_k(x)=1^k+2^k+\ldots +x^k\). In the paper the following Diophantine equations are solved (or resolved): \(P_6(x)=P_4(y)\), \(P_6(x)={y\choose 2}\), \(P_6(x)={y\choose 4}\), \({x\choose 3}=P_2(y)\), \({x\choose 3}=P_4(y)\), \({x\choose 6}=P_2(y)\), \({x\choose 6}=P_4(y)\), \({x ...
Hajdu, L., Pintér, Á.
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