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81.
Daniel Macias Castillo 《Journal of Number Theory》2013,133(9):3007-3032
We discuss an explicit refinement of Rubin?s integral version of Stark?s conjecture. We prove that this refinement is a consequence of the relevant case of the Equivariant Tamagawa Number Conjecture of Burns and Flach, hence obtaining a full proof in several important cases. We also derive several explicit consequences of this refinement concerning the annihilation as Galois modules of ideal class groups by explicit elements constructed from the values of higher order derivatives of Dirichlet L-functions. We finally describe the relation between our approach and those found in recent work of Emmons and Popescu and of Buckingham. 相似文献
82.
William N. Traves 《Proceedings of the American Mathematical Society》1999,127(8):2245-2248
The notion of D-simplicity is used to give a short proof that varieties whose normalization is smooth satisfy Ishibashi's extension of Nakai's conjecture to arbitrary characteristic. This gives a new proof of Nakai's conjecture for curves and Stanley-Reisner rings.
83.
N. Sh. Zagirov 《Mathematical Notes》1999,65(1):51-58
In this paper we find the pairs of functionsg, G (g<G) such that the maximum length of the graph of polynomials of given degree contained betweeng andG is attained on one of the two snakes generated by the functionsg andG.
Translated fromMatematicheskie Zametki, Vol. 65, No. 1, pp. 61–69, January, 1999. 相似文献
84.
We consider a single server loss system in which arrivals occur according to a doubly stochastic Poisson process with a stationary
ergodic intensity functionλ
t
. The service times are independent, exponentially distributed r.v.'s with meanμ
−1, and are independent of arrivals. We obtain monotonicity results for loss probabilities under time scaling as well as under
amplitude scaling ofλ
t
. Moreover, using these results we obtain both lower and upper bounds for the loss probability. 相似文献
85.
Rzvan Licanu 《Expositiones Mathematicae》2007,25(1):37-51
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned. 相似文献
86.
A. V. Zarelua 《Mathematical Notes》2006,79(5-6):783-796
The theorem proved in this paper gives a congruence for the traces of powers of an algebraic integer for the case in which the exponent of the power is a prime power. The theorem implies a congruence in Gauss’ form for the traces of the sums of powers of algebraic integers, generalizing many familiar versions of Fermat’s little theorem. Applied to the traces of integer matrices, this gives a proof of Arnold’s conjecture about the congruence of the traces of powers of such matrices for the case in which the exponent of the power is a prime power. 相似文献
87.
K. Ono 《Geometric And Functional Analysis》2006,16(5):981-1020
We study Floer–Novikov cohomology with local coefficients and prove the flux conjecture for general closed symplectic manifolds.
Received: February 2005, Revised: May 2006, Accepted: May 2006
Partially supported by the Grant-in-Aid for Scientific Research No. 14003419, Japan Society for the Promotion of Sciences. 相似文献
88.
卢广存 《数学物理学报(B辑英文版)》2002,22(4)
In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type. 相似文献
89.
Xuding Zhu 《Discrete Mathematics》1998,190(1-3):215-222
Suppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such that there exists a graph F of chromatic number m for which the following is true: for any 2-colouring of the edges of F there is a monochromatic subgraph isomorphic to G. Let Mn = min[rc(G): χ(G) = n]. It was conjectured by Burr et al. (1976) that Mn = (n − 1)2 + 1. This conjecture has been confirmed previously for n 4. In this paper, we shall prove that the conjecture is true for n = 5. We shall also improve the upper bounds for M6 and M7. 相似文献
90.
1IntroductionWeshalbeconcernedherewithrealfifthordervectordiferentialequationoftheform:X(5)+F(X..)X(4)+Φ(X..)+G(X..)+H(X.)+Ψ... 相似文献