Results 51 to 60 of about 567,713 (175)
Notes on the Hypercyclic Operator
Journal of Mathematical Extension, 2008 In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
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A generalized nonlinear Picone identity for the p-biharmonic operator and its applications
Journal of Inequalities and Applications, 2019 A generalized nonlinear Picone identity for the p-biharmonic operator is established in this paper. As applications, a Sturmian comparison principle to the p-biharmonic equation with singular term, a Liouville’s theorem to the p-biharmonic system, and a ...
Tingfu Feng
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Partition Identities and a Theorem of Zagier
Journal of Combinatorial Theory, Series A, 2002 An infinite family of partition identities generalizing the well-known Eisenstien series identity \[ \sum_{\lambda=1 \atop \lambda \text{odd}}^{\infty} {(-1)^{(\lambda-1)/2} q^{\lambda} \over 1-q^{2\lambda}} =q \prod_{n=1}^{\infty} {(1-q^{8n})^4 \over (1-q^{4n})^2} \] is proven.
Getz, Jayce, Mahlburg, Karl
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, 2012 The Canada Day Theorem is an identity involving sums of $k \times k$ minors of an arbitrary $n \times n$ symmetric matrix. It was discovered as a by-product of the work on so-called peakon solutions of an integrable nonlinear partial differential ...
Gomez, Daniel +2 more
core
A Partition Identity Related to Stanley’s Theorem
The American Mathematical Monthly, 2018 In this paper, we use the Lambert series generating function for Euler's totient function to introduce a new identity for the number of $1$'s in the partitions of $n$. A new expansion for Euler's partition function $p(n)$ is derived in this context. These surprising new results connect the famous classical totient function from multiplicative number ...
Mircea Merca, Maxie D. Schmidt
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Note on identities inspired by new soft theorems [PDF]
Journal of High Energy Physics, 2016 The new soft theorems, for both gravity and gauge amplitudes, have inspired a number of works, including the discovery of new identities related to amplitudes. In this note, we present the proof and discussion for two sets of identities. The first set includes an identity involving the half-soft function which had been used in the soft theorem for one ...
Rao, Junjie, Feng, Bo
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An identity involving automorphisms of prime rings inspired by Posner's theorem
Journal of Taibah University for Science, 2018 Let ${\mathcal R}$ be a prime ring with centre ${\mathcal Z}(\mathcal {R})$, $\mathcal {L}$ a non-zero Lie ideal of ${\mathcal R}$, and σ a non-trivial automorphism of ${\mathcal R}$ such that $[[\sigma (u),u], \sigma (u)] \in \mathcal {Z}(\mathcal {R})$
Mohammad Ashraf, Sajad Ahmad Pary
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Periodic rings with commuting nilpotents
International Journal of Mathematics and Mathematical Sciences, 1984 Let R be a ring (not necessarily with identity) and let N denote the set of nilpotent elements of R. Suppose that (i) N is commutative, (ii) for every x in R, there exists a positive integer k=k(x) and a polynomial f(λ)=fx(λ) with integer coefficients ...
Hazar Abu-Khuzam, Adil Yaqub
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An Identity-Based Anti-Quantum Privacy-Preserving Blind Authentication in Wireless Sensor Networks
Sensors, 2018 With the development of wireless sensor networks, IoT devices are crucial for the Smart City; these devices change people’s lives such as e-payment and e-voting systems. However, in these two systems, the state-of-art authentication protocols based
Hongfei Zhu +5 more
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The hybrid mean value of Dedekind sums and two-term exponential sums
Open Mathematics, 2016 In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
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