Results 91 to 100 of about 321 (189)
On the exponential Diophantine equation containing the Euler quotients [PDF]
, 2014 Let \(a\) and \(m\) be relatively prime positive integers with \(a>1\) and \(m>2\). Let \(\phi(m)\) be Euler's totient function. The quotient \(E_m(a)= \frac{~a^{\phi(m)}-1~}{m}\) is called the \(Euler\) \(quotient\) of \(m\) with base \(a\).
Terai, N.
core
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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A note on the exponential Diophantine equation (aˣ - 1) (bʸ - 1) = az² [PDF]
Let a,b be fixed positive integers such that (a mod 8,b mod 8) ∈ {(0, 3),(0,5),(2,3),(2,5),(4,3),(6,5)}. In this paper, using elementary methods with some classical results for Diophantine equations, we prove the following three results: (i) The equation
Fujita, Yasutsugu, Le, Maohua
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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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Elementary methods for solving some diophantine equations and their applications [PDF]
, 2015 Diophantine denklemleri katsayıları tamsayılar olan iki yada daha fazla değişkenli denklemlerdir. Genel olarak bu denklemleri Lineer ve Üstel Diophantine Denklemleri olarak iki farklı şekilde sınıflandırabiliriz.
Ağaoğlu, Caner
core
Unifying Aspects of Generalized Calculus. [PDF]
Entropy (Basel), 2020 Czachor M.
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Topological triple phase transition in non-Hermitian Floquet quasicrystals. [PDF]
Nature, 2022 Weidemann S +3 more
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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 ...
openaire +2 more sources
Uncomputability and complexity of quantum control. [PDF]
Sci Rep, 2020 Bondar DI, Pechen AN.
europepmc +1 more source
A Contemporary Design Process for Single-Phase Voltage Source Inverter Control Systems. [PDF]
Sensors (Basel), 2022 Bernacki K, Rymarski Z.
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