共查询到20条相似文献,搜索用时 14 毫秒
1.
Kh. N. Narzullaev 《Mathematical Notes》1974,16(3):806-812
We show that for an arbitrary unimodular lattice Λ of dimension n and an arbitrary point C =(c1, c2...cn) ? Rn a point Y = (y1, y2,..., yn) ε Λ can be found and also a number h, satisfying the condition 1 ?h ? 2?n/2 θ?1 + 1 (0 < θ ? 2?n/2), such that the inequality $$\prod\nolimits_{i = 1}^n {\left| {Y_i + hc_i } \right|}< \theta $$ will be satisfied. 相似文献
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3.
A. V. Malyshev 《Journal of Mathematical Sciences》1990,52(3):3098-3109
Further refinements of Chebotarev type estimates are obtained for the inhomogeneous arithmetic minimum Mn of a lattice Λ of determinant d(Λ) in the inhomogeneous Minkowski conjecture. In particular, it is proved that for every n0≥2 there exists an effectively computed constant c=c(n0) for which $$M_n \leqslant 2^{ - n/2} (cn^{ - 1/2} log^{1/2} n) d (\Lambda )$$ . 相似文献
4.
K. B. Bakiev 《Journal of Mathematical Sciences》1983,23(2):2107-2114
One obtains the following transfer theorem, related to Minkowski's nonhomogeneous conjecture. Let Λ ? ?n be a point lattice, det Λ=1. We consider the nonhomogeneous Π(Λ) and the homogeneous L(Λ)=бn. б ? 0, arithmetical minima of the lattice Λ. Then for sufficiently largen, if , then . 相似文献
5.
P. L. Ivankov 《Mathematical Notes》2005,77(3-4):476-481
In this paper, estimates for nonhomogeneous linear forms in values of hypergeometric functions with irrational parameters are refined. This refinement is carried out by means of an optimal choice of the degree of the zeroth polynomial appearing in the construction of approximate functional forms.Translated from Matematicheskie Zametki, vol. 77, no. 4, 2005, pp. 515–521.Original Russian Text Copyright © 2005 by P. L. Ivankov.This revised version was published online in April 2005 with a corrected issue number. 相似文献
6.
One refines an estimate of B. F. Skubenko (Tr. Mat. Inst. Akad. Nauk 148, 218–224 (1978)). Let be a point lattice of determinant d() in the n-dimensional Euclidean space n. and let Lñ. We consider the nonhomogeneous One proves that there exists an effectively computable constant no such that if nno, then.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 82, pp. 88–94, 1979. 相似文献
7.
Kh. Kh. Mukhsinov 《Journal of Mathematical Sciences》1983,23(2):2163-2176
Let M n be the nonhomogeneous arithmetic minimum of the lattice Λ ? ?n of determinant Δ>0. It is proved that forn?1,1·n5, we have . One obtains other estimates of a similar type in the nonhomogeneous Minkowski conjecture, obtained for the first time by N. G. Chebotarev. These estimates strengthen the results of B. P. Skubenko. 相似文献
8.
E. P. Golubeva 《Journal of Mathematical Sciences》2009,157(4):543-552
The solvability of the equation n = x
2 + y
2 + 6pz
2 (p is a fixed large prime) is proved under some natural congruential conditions and the assumption nm
12 > p
21. As an implication, the solvability of the equation n = x
2 + y
2 + u
3 + v
3 + z
4 + w
16 + t
4k+1 for all sufficiently large n is established. Bibliography: 13 titles.
Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 357, 2008, pp. 5–21. 相似文献
9.
Let y = y(x) be a function defined by a continued fraction. A lower bound for |Λ| = |β
1
y
1 + β
2
y
2 + α| is given, where y
1 = y(x
1), y
2 = y(x
2), x
1 and x
2 are positive integers, α, β
1 and β
2 are algebraic irrational numbers. 相似文献
10.
A. I. Galochkin 《Mathematical Notes》1970,8(1):478-484
Lower bounds are found for linear forms in values of certain hypergeometric functions and their derivatives, analogous to the bounds obtained by K. Mahler for the linear form of the numbers 1, e, e2,..., em.Translated from Matematicheskie Zametki, Vol. 8, No. 1, pp. 19–28, July, 1970.We wish to thank A. B. Shidlovskii for his interest in this work and for his many useful suggestions. 相似文献
11.
M Boshernitzan A.S Fraenkel 《Journal of Algorithms in Cognition, Informatics and Logic》1984,5(2):187-198
Given a sequence of integers [ai]i=1n, an O(n) iterative algorithm is presented which decides whether there exist real numbers α and β such that ai = [iα + β] (1 ? i ? n). In fact, the linear algorithm computes the partial quotients of the continued fraction expansions of and such that if and only if ai = [iα + β] (1 ? i ? n) for suitable β = β(α). 相似文献
12.
Terry A. McKee 《Order》1989,6(3):265-275
The study of upper bound graphs of posets can be extended naturally to multigraphs. This paper characterizes such upper bound multigraphs, shows they determine the associated posets up to isomorphism, and extends results of D. Scott to characterize posets having chordal or interval upper bound multigraphs.Research partially supported by Office of Naval Research contract N00014-88-K-0163. 相似文献
13.
D. R. Dunninger 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1974,25(3):422-424
Summary In this note we obtain a lower bound for the first eigenvalue of a nonhomogeneous plate problem. As a consequence we obtain an inequality of Barta-type.
Résumé En cette note nous obtenons une borne inférieure pour la première valeur propre d'une plaque inhomogène. En conséquence nous obtenons une inégalité de type Barta.相似文献
14.
U. A. Akramov 《Journal of Mathematical Sciences》1988,43(5):2623-2624
A strong isolation theorem is stated for the case of m3 pairs of complex conjugate linear forms L1(x), ¯L1(x), ..., Lm(x), ¯Lm(x), which define a form
of degree n=2m indecomposable in 2e. This theorem is a direct analog of Skubenko's result for real linear forms [2].Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 151, pp. 5–6, 1986. 相似文献
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G. O. Fowler 《Linear and Multilinear Algebra》1980,8(4):317-322
The tensor product f⊗g of two forms of degree r has a linear factor if and only if both fand g have a linear factor and the sum of the multiplicities of these factors is larger than r. In fact, if (V,ϕ) and (Wθ) are symmetric spaces corresponding to fand g with linear factors U and T respectively the sum of whose multiplicities is larger than r, then the linear factor of (V,ϕ)⊗(Wθ)is U⊗W+V⊗T. Conversely, each linear factor of (V,ϕ)⊗(Wθ)is of this form. Additionally, the direct sum of two nondegenerate symmetric spaces has a linear factor if and only if each is one dimensional and isomorphic to the negative of the other. 相似文献
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This paper is concerned with the blow-up solutions of Gross-Pitaevskii equation. We obtain the upper bound of weak-limitation for the blow-up solutions by using the method of Cazenave (2003) [3] as well as the concentration compact principle. 相似文献
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Alfonso Castro Mó nica Clapp 《Proceedings of the American Mathematical Society》2006,134(1):167-175
We establish upper bounds for the energy of critical levels of the functional associated to a perturbed superlinear elliptic boundary value problem. We show that the perturbed problem satisfies the estimates obtained by Bahri and Lions (1988) for the symmetric problem. We use these estimates to prove the existence of nonradial solutions to a radial elliptic boundary value problem. Our results fill a gap in an earlier paper by Aduén and Castro.