An application of Frey's idea to exponential Diophantine equations
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994 Let \(a\), \(b\), \(c\), \(l\), \(m\), \(n\) be relatively prime positive integers. In this paper it is shown that the equation \(la^ x+ mb^ y= nc^ z\), has a finite number of solutions in positive integers \(x\), \(y\), \(z\), all of which can be effectively determined. The effective procedure is based on: a) \textit{G.
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Integers representable as differences of linear recurrence sequences. [PDF]
Res Number Theory, 2021 Tichy R, Vukusic I, Yang D, Ziegler V.
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
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S-Unit Equations in Modules and Linear-Exponential Diophantine Equations
Proceedings of the 58th Annual ACM Symposium on Theory of ComputingLet $T$ be a positive integer, and $\mathcal{M}$ be a finitely presented module over the Laurent polynomial ring $\mathbb{Z}_{/T}[X_1^{\pm}, \ldots, X_N^{\pm}]$. We consider S-unit equations over $\mathcal{M}$: these are equations of the form $x_1 m_1 + \cdots + x_K m_K = m_0$, where the variables $x_1, \ldots, x_K$ range over the set of monomials ...
Ruiwen Dong, Doron Shafrir
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Unifying Aspects of Generalized Calculus. [PDF]
Entropy (Basel), 2020 Czachor M.
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Parameter Identification of Model for Piezoelectric Actuators. [PDF]
Micromachines (Basel), 2023 Liu D, Dong J, Guo S, Tan L, Yu S.
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Uncomputability and complexity of quantum control. [PDF]
Sci Rep, 2020 Bondar DI, Pechen AN.
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A Contemporary Design Process for Single-Phase Voltage Source Inverter Control Systems. [PDF]
Sensors (Basel), 2022 Bernacki K, Rymarski Z.
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Topological triple phase transition in non-Hermitian Floquet quasicrystals. [PDF]
Nature, 2022 Weidemann S +3 more
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Singularity of the Spectrum for Smooth Area-Preserving Flows in Genus Two and Translation Surfaces Well Approximated by Cylinders. [PDF]
Commun Math Phys, 2021 Chaika J +3 more
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