Results 11 to 20 of about 987,374 (257)
On a divisibility problem [PDF]
Mathematica Bohemica, 2019 Let $p_1, p_2, \cdots$ be the sequence of all primes in ascending order. Using explicit estimates from the prime number theory, we show that if $ k \geq5 $, then (p_{k+1}-1)! \mid(\tfrac12 (p_{k +1} - 1))! p_ k!, which improves a previous result of
Shichun Yang, Florian Luca, Alain Togbé
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Stabilizer rank and higher-order Fourier analysis [PDF]
Quantum, 2022 We establish a link between stabilizer states, stabilizer rank, and higher-order Fourier analysis – a still-developing area of mathematics that grew out of Gowers's celebrated Fourier-analytic proof of Szemerédi's theorem \cite{gowers1998new}. We observe
Farrokh Labib
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Algebraic Theories of AUNU Permutation Using Group Action with Non- Prime Order
International Journal of Science for Global Sustainability, 2023 Permutation groups have played important roles in method of enumerating combinatorial objects in recent times. However, the study of the applicability AUNU permutation groups using group action is challenging. In this paper, a new method of constructing group action using the subsequences of (123)- avoiding of AUNU Permutation patterns is provided. The
A Dogondaji, A. Ibrahim
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On the equation fn + (f″)m ≡ 1
Demonstratio Mathematica, 2023 Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 The theory of $u_{0}$-positive operators with respect to a cone in a Banach space is applied to the linear differential equations $u^{(4)}+\lambda_{1} p(x)u=0$ and $u^{(4)}+\lambda_{2} q(x)u=0$, $0\leq x\leq 1$, with each satisfying the boundary ...
Jeffrey Neugebauer
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U(3) chiral perturbation theory with infrared regularization [PDF]
, 2001 We include the eta-prime in chiral perturbation theory without employing 1/N_c counting rules. The method is illustrated by calculating the masses and decay constants of the Goldstone boson octet (pions, kaons, eta) and the singlet eta-prime up to one ...
A. Bramon +17 more
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On problems concerning fixed-point-free permutations and on the polycirculant conjecture-a survey [PDF]
Transactions on Combinatorics, 2019 Fixed-point-free permutations, also known as derangements, have been studied for centuries. In particular, depending on their applications, derangements of prime-power order and of prime order have always played a crucial role in a variety of ...
Majid Arezoomand +2 more
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Prime models of theories of computable linear orderings [PDF]
Proceedings of the American Mathematical Society, 2001 We answer a long-standing question of Rosenstein by exhibiting a complete theory of linear orderings with both a computable model and a prime model, but no computable prime model. The proof uses the relativized version of the concept of limitwise monotonic function.
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On Semisymmetric Cubic Graphs of Order 20p2, p Prime
Discussiones Mathematicae Graph Theory, 2021 A simple graph is called semisymmetric if it is regular and edge-transitive but not vertex-transitive. Let p be an arbitrary prime. Folkman proved [Regular line-symmetric graphs, J. Combin. Theory 3 (1967) 215–232] that there is no semisymmetric graph of
Shahsavaran Mohsen +1 more
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A cohomological approach to theory of groups of prime power order [PDF]
Kodai Mathematical Journal, 1994 Central elementary extensions of finite \(p\)-groups are studied by cohomological methods, namely, the Hochschild-Serre filtration of the second cohomology group of such an extension. Using this technique, the author reproves a number of results on the Frattini subgroup of finite \(p\)-groups (by Berger-Kovács-Newman, Blackburn, Kahn, Hobby, Thompson ...
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