共查询到13条相似文献,搜索用时 0 毫秒
1.
The Ramanujan Journal - Our aim in this work is to prove an analogue of Titchmarsh’s theorem [19, Theorem 84] and Younis’s theorem [20, Theorem 3.3] on the image under the q-Dunkl... 相似文献
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Let \(a,\ b,\ c,\ m\) be positive integers such that \(a+b=c^2, 2\mid a, 2\not \mid c\) and \(m>1\). In this paper we prove that if \(c\mid m \) and \(m>36c^3 \log c\), then the equation \((am^2+1)^x+(bm^2-1)^y=(cm)^z\) has only the positive integer solution \((x,\ y,\ z)\)=\((1,\ 1,\ 2)\). 相似文献
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I. O. Krasnobaev 《Mathematical Notes》2008,83(5-6):759-769
We obtain a necessary condition for the completeness of the system $$ e(\Lambda ) = \left\{ {e^{ - \lambda _n t} |Re\lambda _n > 0,n \in \mathbb{Z}} \right\} $$ in the spaces C 0 and L p (?+), p > 2, for the case in which the set of limit points of the sequence {λ n } is countable and separable. 相似文献
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The Ramanujan Journal - Let $$k\ge 2$$ be an even integer, and let M be a positive integer. We prove a hybrid subconvexity bound for $$L(1/2,\text {sym}^2 f\otimes \chi )$$ with the associated... 相似文献
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In this paper, we present a necessary and sufficient condition for the biorthogonality of a class of special functionsρ
1 andρ
2. The functions are useful in the theory of biorthogonal wavelet. 相似文献
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L. V. Kapitanskii 《Journal of Mathematical Sciences》1984,25(1):850-854
For a large class of plane domains Ω, having exits at infinity, one shows the coincidence of the spaces of solenoidal vector fields \(\mathop {J_2^1 }\limits^ \circ (\Omega )\) and , which play an important role in the investigation of initial-houndary-value problems for the Navier-Stokes equations. 相似文献
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Geometriae Dedicata - We show that an open subset $${\mathfrak {F}}_4''$$ of the $$\mathrm{PU}(2,1)$$ configuration space of four points in $$S^3$$ is in bijection with an open subset of... 相似文献
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J. Thomae 《Mathematische Annalen》1870,2(3):427-444
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We continue our earlier paper [20] by proving the equivalence, for regularκ>ω, of the existence of (κ, 1) morasses with built-in ♦ sequences and a strengthening, SK◊ , of the forcing principle, SK◊ of [20]. We obtain various applications of SK◊, to wit: the existence of a stationary subset of [K+]<K with sup as coding function, the existence of a counterexample to Arhangel’skii’s conjecture (κ=ℵ1) and compactness, axiomatizability and transfer properties for the Magidor-Malitz language ℒ
(κ=ℵ1).
Research partially supported by NSF Grant MCS 8301042. 相似文献
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Gerdjikov V. S. Stefanov A. A. Iliev I. D. Boyadjiev G. P. Smirnov A. O. Matveev V. B. Pavlov M. V. 《Theoretical and Mathematical Physics》2020,204(3):1110-1129
Theoretical and Mathematical Physics - We construct three nonequivalent gradings in the algebra $$D_4simeq so(8)$$ . The first is the standard grading obtained with the Coxeter automorphism... 相似文献