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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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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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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Unifying Aspects of Generalized Calculus. [PDF]
Entropy (Basel), 2020 Czachor M.
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Uncomputability and complexity of quantum control. [PDF]
Sci Rep, 2020 Bondar DI, Pechen AN.
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Polynomial-exponential equations and linear recurrences [PDF]
, 2003 Let K be an algebraic number field and let (Gn) be a linear recurring sequence defined by Gn = + P2(n) + ... + Pt(n) , where , , ... , are non-zero elements of K and where Pi(x) K[x] for i = 2, ... , t.
Fuchs, Clemens, Clemens Fuchs
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On some conjectures of exponential Diophantine equations
, 2020 In this paper, we consider the exponential Diophantine equation $a^{x}+b^{y}=c^{z},$ where $a, b, c$ be relatively prime positive integers such that $a^{2}+b^{2}=c^{r}, r\in Z^{+}, 2\mid r$ with $b$ even. That is $$a=\mid Re(m+n\sqrt{-1})^{r}\mid, b=\mid Im(m+n\sqrt{-1})^{r}\mid, c=m^{2}+n^{2},$$ where $m, n$ are positive integers with $m>n, m-n ...
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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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